90832896 has 216 divisors, whose sum is σ = 327154464. Its totient is φ = 23592960.

The previous prime is 90832871. The next prime is 90832909. The reversal of 90832896 is 69823809.

It is a super-2 number, since 2×90832896² = 16501229991493632, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8257531 + ... + 8257541.

It is an arithmetic number, because the mean of its divisors is an integer number (1514604).

Almost surely, 2^90832896 is an apocalyptic number.

90832896 is a gapful number since it is divisible by the number (96) 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 90832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577232).

90832896 is an abundant number, since it is smaller than the sum of its proper divisors (236321568).

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

90832896 is an equidigital number, since it uses as much as digits as its factorization.

90832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 90832896 is about 9530.6293601210. The cubic root of 90832896 is about 449.5186556821.

The spelling of 90832896 in words is "ninety million, eight hundred thirty-two thousand, eight hundred ninety-six".