9905664 has 40 divisors (see below), whose sum is σ = 26393400. Its totient is φ = 3301376.

The previous prime is 9905659. The next prime is 9905671. The reversal of 9905664 is 4665099.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1689 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (659835).

Almost surely, 2^9905664 is an apocalyptic number.

It is an amenable number.

9905664 is an abundant number, since it is smaller than the sum of its proper divisors (16487736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9905664 is an equidigital number, since it uses as much as digits as its factorization.

9905664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 9905664 is about 3147.3264844944. The cubic root of 9905664 is about 214.7638582736.

The spelling of 9905664 in words is "nine million, nine hundred five thousand, six hundred sixty-four".