It is nice/good/smart to save as much as you can before you head over to BSchool. Being international can be tough due to salary parity and cost of living. What many don't know (myself included) is that the loan will not disburse until you start school, so if your orientation starts on Aug 25th, School starts on Sept 5th, and your land in the US on July 30th, there is a good chance your loan wont' disburse until the 5th (some lenders may release it on the 25th but still, that's a month on your own).
And before the school starts, is the time you will need $$$ to get security deposit, first and last months of rent on your apartment/etc - that can easily be $5K. If you have to get a phone, computer, car, housewares, and anything else that is expensive (e.g. books), you are looking into quite an amount to have available and accessible pre loan.
Plan well!