Hello,

As you have mentioned that you scored 86.5 percentile,  your predicted rank  will be  1,17,316. Assuming you in general category you can get some of the nits. They all have rank cutoffs upto 1lakhs for general category for different non technical and core branches.

here is the list of some nits you can try:

1. NIT Meghalaya
2. NIT manipur
3. NIT Nagpur
4. NIT jamshedpur
5. NIT sikkim

For more information, please visit the link given below:-

https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

Hope it helps!