You haven't mentioned which State you belong to. This is important because cut offs are different for Home State Candidates and Other State Candidates. So please do help us with your State.

Your rank can be predicted by using the formula, (100-your total percentile)*869010/100. In your case, your approximate rank would be 17814. Let's say the number of candidates for April exam increased to 12,00,000 then your final rank shall be (100 - your total score) X 12,00,000/100.

With this rank, you might have decent chances through JOSAA. But for NIT you might have a chance in your Home State but it might be good to appear for April session. But if you want to appear for JEE Advanced, you qualify because the expected qualifying percentile for JEE Advanced is 85 and more.

Now to predict colleges, please use our college predictor: