9000864 has 36 divisors (see below), whose sum is σ = 25597026. Its totient is φ = 3000192.

The previous prime is 9000841. The next prime is 9000877. The reversal of 9000864 is 4680009.

It can be written as a sum of positive squares in only one way, i.e., 7290000 + 1710864 = 2700^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15339 + ... + 15914.

Almost surely, 2^9000864 is an apocalyptic number.

It is an amenable number.

9000864 is an abundant number, since it is smaller than the sum of its proper divisors (16596162).

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

9000864 is a wasteful number, since it uses less digits than its factorization.

9000864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31269 (or 31258 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9000864 is about 3000.1439965442. The cubic root of 9000864 is about 208.0150383604.

The spelling of 9000864 in words is "nine million, eight hundred sixty-four", and thus it is an aban number.