90838080 has 84 divisors (see below), whose sum is σ = 312455052. Its totient is φ = 24222720.

The previous prime is 90838067. The next prime is 90838081. The reversal of 90838080 is 8083809.

It can be written as a sum of positive squares in 2 ways, for example, as 11128896 + 79709184 = 3336^2 + 8928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90838081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12891 + ... + 18650.

It is an arithmetic number, because the mean of its divisors is an integer number (3719703).

Almost surely, 2^90838080 is an apocalyptic number.

90838080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90838080 is an abundant number, since it is smaller than the sum of its proper divisors (221616972).

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

90838080 is a wasteful number, since it uses less digits than its factorization.

90838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31564 (or 31551 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 90838080 is about 9530.9013214911. The cubic root of 90838080 is about 449.5272071375.

The spelling of 90838080 in words is "ninety million, eight hundred thirty-eight thousand, eighty".