90382608 has 160 divisors (see below), whose sum is σ = 284267520. Its totient is φ = 27371520.

The previous prime is 90382583. The next prime is 90382609. The reversal of 90382608 is 80628309.

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 not an unprimeable number, because it can be changed into a prime (90382609) 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, 227466 + ... + 227862.

It is an arithmetic number, because the mean of its divisors is an integer number (1776672).

Almost surely, 2^90382608 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 90382608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142133760).

90382608 is an abundant number, since it is smaller than the sum of its proper divisors (193884912).

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

90382608 is a wasteful number, since it uses less digits than its factorization.

90382608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90382608 is about 9506.9768065353. The cubic root of 90382608 is about 448.7746218027.

The spelling of 90382608 in words is "ninety million, three hundred eighty-two thousand, six hundred eight".