8975664 has 80 divisors (see below), whose sum is σ = 26188800. Its totient is φ = 2942784.

The previous prime is 8975653. The next prime is 8975669. The reversal of 8975664 is 4665798.

8975664 is a `hidden beast` number, since 89 + 7 + 566 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (8975669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33997 + ... + 34259.

It is an arithmetic number, because the mean of its divisors is an integer number (327360).

Almost surely, 2^8975664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8975664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094400).

8975664 is an abundant number, since it is smaller than the sum of its proper divisors (17213136).

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

8975664 is a wasteful number, since it uses less digits than its factorization.

8975664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 8975664 is about 2995.9412544307. The cubic root of 8975664 is about 207.8207281759.

It can be divided in two parts, 897 and 5664, that added together give a 8-th power (6561 = 3⁸).

The spelling of 8975664 in words is "eight million, nine hundred seventy-five thousand, six hundred sixty-four".