9659664 has 135 divisors (see below), whose sum is σ = 32320197. Its totient is φ = 2685312.

The previous prime is 9659653. The next prime is 9659711. The reversal of 9659664 is 4669569.

The square root of 9659664 is 3108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8643600 + 1016064 = 2940^2 + 1008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 261054 + ... + 261090.

Almost surely, 2^9659664 is an apocalyptic number.

9659664 is the 3108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9659664

9659664 is an abundant number, since it is smaller than the sum of its proper divisors (22660533).

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

9659664 is a wasteful number, since it uses less digits than its factorization.

9659664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The cubic root of 9659664 is about 212.9710996959.

The spelling of 9659664 in words is "nine million, six hundred fifty-nine thousand, six hundred sixty-four".