9007864 has 32 divisors (see below), whose sum is σ = 17917200. Its totient is φ = 4238080.

The previous prime is 9007861. The next prime is 9007877. The reversal of 9007864 is 4687009.

9007864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9007864² = 162283227684992, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9007861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9039 + ... + 9985.

Almost surely, 2^9007864 is an apocalyptic number.

It is an amenable number.

9007864 is a deficient number, since it is larger than the sum of its proper divisors (8909336).

9007864 is a wasteful number, since it uses less digits than its factorization.

9007864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 9007864 is about 3001.3103804838. The cubic root of 9007864 is about 208.0689490353.

The spelling of 9007864 in words is "nine million, seven thousand, eight hundred sixty-four".