Typically, conventional lenders, like major national banks, prefer applicants to have a credit score of 661 or higher. So a credit score of 660 puts you in a unique position. A conventional lender might still offer you a loan, but a lender who specializes in loans for those with low credit scores almost undoubtedly will.
Lenders who offer car loans for low credit individuals do so at higher interest rates, so it’s worthwhile to shop around and see if a conventional lender will approve your application. Regardless of who approves your application, you should compare rates from multiple lenders to find the best rate and most favorable terms.