90324864 has 192 divisors, whose sum is σ = 310602240. Its totient is φ = 24634368.

The previous prime is 90324863. The next prime is 90324877. The reversal of 90324864 is 46842309.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90324863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185229 + ... + 185715.

It is an arithmetic number, because the mean of its divisors is an integer number (1617720).

Almost surely, 2^90324864 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 90324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155301120).

90324864 is an abundant number, since it is smaller than the sum of its proper divisors (220277376).

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

90324864 is a wasteful number, since it uses less digits than its factorization.

90324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 90324864 is about 9503.9393937462. The cubic root of 90324864 is about 448.6790298041.

The spelling of 90324864 in words is "ninety million, three hundred twenty-four thousand, eight hundred sixty-four".