The true number of cases and deaths is likely higher than the figures suggest, as Latin America's top economy has been slow to ramp up testing.
Previously holding the spot of the second-highest number of cases in the world, Russian Federation had still sat well behind the United States who has more than 1.5 million cases on the Johns Hopkins University tally.
The virus fatalities, the sixth highest toll in the world, are two times the number 11 days earlier, showed Brazil's official data.
President Jair Bolsonaro once again criticized the social isolation measures and said, during a weekly live broadcast, that he believed that "freedom is more important than life".
But nearly all of the country's 27 states are under some sort of lockdown order, though Brazilians are wearying of the restrictions in place since the end of March.More news: Megan Fox Stars In Machine Gun Kelly New Video
The country of 210 million people has had a disjointed response to the pandemic.
The petition, signed by 146 individuals and corporations, including former presidents Luiz Inacio Lula da Silva and Dilma Rousseff of the Workers' Party (PT), claims the Brazilian president is disrupting the efforts to contain the pandemic as well as the democracy in the country.
Doria, for his part, urged unity.
On Monday, São Paulo Mayor Bruno Covas said that the city's public hospitals had reached 90 percent capacity and that in only two weeks they will no longer be able to support the influx of patients. If we're at war, we all face defeat.
When asked about Brazil's increasing numbers, US President Donald Trump said that he was considering a travel ban on Brazil.More news: Jets signing quarterback Joe Flacco to one-year deal
The authorities have been racing to set up field hospitals with more beds, but are struggling to build them fast enough.
Bolsonaro, who has famously compared the virus to a "little flu", appears to have pinned his hopes on the anti-malaria drugs chloroquine and hydroxychloroquine to stop it.
The last health minister, Nelson Teich, resigned last week after less than a month on the job, reportedly after clashing with Bolsonaro over the president's insistence on widespread chloroquine and hydroxychloroquine use.
Brazil's new guidelines were approved by interim Health Minister Gen. Eduardo Pazuello, who had no health experience prior to becoming the ministry's No. 2 official in April.
Chloroquine was already being used in Brazil for COVID-19 patients who are hospitalized in serious condition.More news: New York Governor Cuomo Permits Resumption of Religious Gatherings, With Strict Restrictions