90809920 has 56 divisors (see below), whose sum is σ = 228974904. Its totient is φ = 34185216.

The previous prime is 90809893. The next prime is 90809941. The reversal of 90809920 is 2990809.

It can be written as a sum of positive squares in 4 ways, for example, as 4096576 + 86713344 = 2024^2 + 9312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90809920.

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 7 ways as a sum of consecutive naturals, for example, 2907 + ... + 13786.

Almost surely, 2^90809920 is an apocalyptic number.

It is an amenable number.

90809920 is an abundant number, since it is smaller than the sum of its proper divisors (138164984).

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

90809920 is a wasteful number, since it uses less digits than its factorization.

90809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16727 (or 16717 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 90809920 is about 9529.4239070366. The cubic root of 90809920 is about 449.4807508699.

The spelling of 90809920 in words is "ninety million, eight hundred nine thousand, nine hundred twenty".