8904864 has 96 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 2737152.

The previous prime is 8904851. The next prime is 8904869. The reversal of 8904864 is 4684098.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8904869) 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, 81642 + ... + 81750.

It is an arithmetic number, because the mean of its divisors is an integer number (263340).

Almost surely, 2^8904864 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 8904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

8904864 is an abundant number, since it is smaller than the sum of its proper divisors (16375776).

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

8904864 is a wasteful number, since it uses less digits than its factorization.

8904864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8904864 is about 2984.1018749366. The cubic root of 8904864 is about 207.2728554240.

The spelling of 8904864 in words is "eight million, nine hundred four thousand, eight hundred sixty-four".