9975664 has 20 divisors (see below), whose sum is σ = 19460560. Its totient is φ = 4953600.

The previous prime is 9975643. The next prime is 9975683. The reversal of 9975664 is 4665799.

It is a d-powerful number, because it can be written as 9 + 9⁶ + 7⁸ + 5⁹ + 6⁶ + 6⁸ + 4² .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 352 + ... + 4480.

It is an arithmetic number, because the mean of its divisors is an integer number (973028).

Almost surely, 2^9975664 is an apocalyptic number.

It is an amenable number.

9975664 is a deficient number, since it is larger than the sum of its proper divisors (9484896).

9975664 is a wasteful number, since it uses less digits than its factorization.

9975664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4282 counting only the distinct ones).

The product of its digits is 408240, while the sum is 46.

The square root of 9975664 is about 3158.4274568209. The cubic root of 9975664 is about 215.2685592976.

The spelling of 9975664 in words is "nine million, nine hundred seventy-five thousand, six hundred sixty-four".