90588352 has 112 divisors (see below), whose sum is σ = 204825600. Its totient is φ = 39536640.

The previous prime is 90588343. The next prime is 90588367. The reversal of 90588352 is 25388509.

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, 1146649 + ... + 1146727.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^90588352 is an apocalyptic number.

90588352 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90588352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

90588352 is an abundant number, since it is smaller than the sum of its proper divisors (114237248).

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

90588352 is a wasteful number, since it uses less digits than its factorization.

90588352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 90588352 is about 9517.7913404319. The cubic root of 90588352 is about 449.1148890114.

The spelling of 90588352 in words is "ninety million, five hundred eighty-eight thousand, three hundred fifty-two".