90800320 has 168 divisors, whose sum is σ = 247656096. Its totient is φ = 31629312.

The previous prime is 90800293. The next prime is 90800327. The reversal of 90800320 is 2300809.

It is a super-2 number, since 2×90800320² = 16489396224204800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90800291 and 90800300.

It is not an unprimeable number, because it can be changed into a prime (90800327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243804 + ... + 1243876.

Almost surely, 2^90800320 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 90800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123828048).

90800320 is an abundant number, since it is smaller than the sum of its proper divisors (156855776).

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

90800320 is a wasteful number, since it uses less digits than its factorization.

90800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 90800320 is about 9528.9201906617. The cubic root of 90800320 is about 449.4649113108.

The spelling of 90800320 in words is "ninety million, eight hundred thousand, three hundred twenty".