That's plenty to move into an apartment, but whether your income and rating qualifies you is another story, typically they would want you to make 3X the monthly rent rent.
That's plenty. Far more important is how much you earn a month vs. rent and expenses.
Depends on how much you make, and where you live. You might be able to save that amount, but if your monthly spend is > income, it will eventually dwindle and you'll have nothing.
You are the first person on here who has had a realistic number; so you should succeed. Good luck.