90021264 has 80 divisors (see below), whose sum is σ = 246210432. Its totient is φ = 28283904.

The previous prime is 90021263. The next prime is 90021271. The reversal of 90021264 is 46212009.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (90021263) 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, 80034 + ... + 81150.

Almost surely, 2^90021264 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 90021264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123105216).

90021264 is an abundant number, since it is smaller than the sum of its proper divisors (156189168).

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

90021264 is a wasteful number, since it uses less digits than its factorization.

90021264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 90021264 is about 9487.9536255190. The cubic root of 90021264 is about 448.1757654286.

The spelling of 90021264 in words is "ninety million, twenty-one thousand, two hundred sixty-four".