According to multiple independent economics analysts including the CBO.3.3 million is the number they give.
Mark Zandi, chief economist of Moody's Analytics and an advisor to John McCain's presidential campaign, working with former Federal Reserve vice chairman Alan Blinder, pegged it at 2.7 million.
USAtoday article mentions economists at Goldman Sachs, IHS Global Insight, JPMorgan Chase and Macroeconomic Advisers, say the stimulus boosted gross domestic product.
Additionally, the US auto industry was certainly saved by Obama's first term bailout of them. Now they're healthy, but back then they were in great danger of collapsing and taking hundreds of thousands to millions of jobs with them- separate from the stimulus.
Actually, the CBO estimated it between 1.4 and 3.3 mill. with 3.3 being the absolute highest. And they're unsure how many of those were permanent jobs. Furthermore, the auto industry isn't "healthy", it's just not dying.
As a result of the stimulus however, we got out of control inflation, a useless dollar, god awful purchasing power, further increase in debt (epic proportions under Obama administration), etc. It's almost like a ponzi scheme and I hesitate to fully blame Obama because Bush signed it into law first.
In terms of reviving the economy, it slowed the epic fail. And this isn't even bringing QE2 and QE3 into question, which did even less. The fact that interest rates weren't raised just pissed me the hell off.
We got lucky because as we suffered, the rest of the industrialized world suffered as well, so the damage was minimal.
http://www.washingtonpost.com/blogs/ezra-klein/post/did-the-stimulus-work-a-review-of-the-nine-best-studies-on-the-subject/2011/08/16/gIQAThbibJ_blog.html
Interesting review of the studies done.