90864 has 30 divisors (see below), whose sum is σ = 254696. Its totient is φ = 30240.

The previous prime is 90863. The next prime is 90887. The reversal of 90864 is 46809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172 + ... + 459.

2⁹⁰⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

90864 is an abundant number, since it is smaller than the sum of its proper divisors (163832).

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

90864 is a wasteful number, since it uses less digits than its factorization.

90864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

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

The square root of 90864 is about 301.4365604899. The cubic root of 90864 is about 44.9569959535.

The spelling of 90864 in words is "ninety thousand, eight hundred sixty-four".