90580968 has 48 divisors (see below), whose sum is σ = 245945700. Its totient is φ = 30117120.

The previous prime is 90580933. The next prime is 90580979. The reversal of 90580968 is 86908509.

90580968 is a `hidden beast` number, since 9 + 0 + 580 + 9 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86825124 + 3755844 = 9318^2 + 1938^2 .

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, 31828 + ... + 34556.

Almost surely, 2^90580968 is an apocalyptic number.

It is an amenable number.

90580968 is an abundant number, since it is smaller than the sum of its proper divisors (155364732).

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

90580968 is a wasteful number, since it uses less digits than its factorization.

90580968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 90580968 is about 9517.4034274060. The cubic root of 90580968 is about 449.1026859913.

The spelling of 90580968 in words is "ninety million, five hundred eighty thousand, nine hundred sixty-eight".