90605827160 has 64 divisors (see below), whose sum is σ = 204417907200. Its totient is φ = 36143856000.

The previous prime is 90605827159. The next prime is 90605827187. The reversal of 90605827160 is 6172850609.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29048081 + ... + 29051199.

It is an arithmetic number, because the mean of its divisors is an integer number (3194029800).

Almost surely, 2^90605827160 is an apocalyptic number.

It is an amenable number.

90605827160 is an abundant number, since it is smaller than the sum of its proper divisors (113812080040).

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

90605827160 is a wasteful number, since it uses less digits than its factorization.

90605827160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 90605827160 in words is "ninety billion, six hundred five million, eight hundred twenty-seven thousand, one hundred sixty".