Hi.

You need to mention your marks as well, as the cutoff released by NTA is score-based. However, if your marks are above 68.023 (cut-off marks for OBC-NCL Category) then you are qualified for JEE Advance examination.
Based on your category rank and Other State quota (since you did not mention your home state) you will not be able to get into any NITs because of such a high category rank, but you may have chances in Home State Quota and same goes for IIIT as well.

You can use our College Predictor tool for JEE Mains to help you in finding college and branch of your choice based on your merits in the exam.

I hope this helps.

Good Luck