According to the New York Times' numbers:

Obama has 1,953.5 total delegates, so far.
Clinton has 1,769 total delegates, so far.

Based on the rules today (FL and MI don't count), 2026 is the number a candidate needs to secure the nomination. So:

Obama needs 73 more to hit the magic number.
Clinton needs 257 more.

What's left to win?

There are currently 178.5 un-pledged super-delegates, and 86 state delegates: 265 left (round-up on that 0.5).
55 from Puerto Rico - June 1
16 from Montana - June 3
15 from South Dakota - June 3

So, if Hillary wins every outstanding super-delegate, and every remaining state delegate, she will pass the magic number by 8. Not much wiggle room there.

On the other hand, Obama can do this in a walk.