90765584 has 160 divisors (see below), whose sum is σ = 242484480. Its totient is φ = 31850496.

The previous prime is 90765581. The next prime is 90765593. The reversal of 90765584 is 48556709.

It is a super-2 number, since 2×90765584² = 16476782477722112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90765581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470192 + ... + 470384.

It is an arithmetic number, because the mean of its divisors is an integer number (1515528).

Almost surely, 2^90765584 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 90765584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121242240).

90765584 is an abundant number, since it is smaller than the sum of its proper divisors (151718896).

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

90765584 is a wasteful number, since it uses less digits than its factorization.

90765584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 90765584 is about 9527.0973543887. The cubic root of 90765584 is about 449.4075891763.

The spelling of 90765584 in words is "ninety million, seven hundred sixty-five thousand, five hundred eighty-four".