90453264 has 80 divisors (see below), whose sum is σ = 256721664. Its totient is φ = 27216000.

The previous prime is 90453247. The next prime is 90453287. The reversal of 90453264 is 46235409.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85539 + ... + 86589.

Almost surely, 2^90453264 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 90453264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128360832).

90453264 is an abundant number, since it is smaller than the sum of its proper divisors (166268400).

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

90453264 is a wasteful number, since it uses less digits than its factorization.

90453264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 90453264 is about 9510.6920883814. The cubic root of 90453264 is about 448.8915335305.

It can be divided in two parts, 90 and 453264, that added together give a palindrome (453354).

The spelling of 90453264 in words is "ninety million, four hundred fifty-three thousand, two hundred sixty-four".