90596880 has 400 divisors, whose sum is σ = 362976768. Its totient is φ = 20736000.

The previous prime is 90596873. The next prime is 90596897. The reversal of 90596880 is 8869509.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2209660 + ... + 2209700.

Almost surely, 2^90596880 is an apocalyptic number.

90596880 is a gapful number since it is divisible by the number (90) 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 90596880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181488384).

90596880 is an abundant number, since it is smaller than the sum of its proper divisors (272379888).

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

90596880 is a wasteful number, since it uses less digits than its factorization.

90596880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 90596880 is about 9518.2393329859. The cubic root of 90596880 is about 449.1289818151.

The spelling of 90596880 in words is "ninety million, five hundred ninety-six thousand, eight hundred eighty".