90937600 has 108 divisors (see below), whose sum is σ = 242620756. Its totient is φ = 33546240.

The previous prime is 90937529. The next prime is 90937603. The reversal of 90937600 is 673909.

It can be written as a sum of positive squares in 6 ways, for example, as 2304 + 90935296 = 48^2 + 9536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90937603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 82654 + ... + 83746.

Almost surely, 2^90937600 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 90937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121310378).

90937600 is an abundant number, since it is smaller than the sum of its proper divisors (151683156).

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

90937600 is a wasteful number, since it uses less digits than its factorization.

90937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 90937600 is about 9536.1208046039. The cubic root of 90937600 is about 449.6913109290.

The spelling of 90937600 in words is "ninety million, nine hundred thirty-seven thousand, six hundred".