90557160 has 64 divisors (see below), whose sum is σ = 272652480. Its totient is φ = 24061440.

The previous prime is 90557149. The next prime is 90557161. The reversal of 90557160 is 6175509.

It is not an unprimeable number, because it can be changed into a prime (90557161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36355 + ... + 38765.

It is an arithmetic number, because the mean of its divisors is an integer number (4260195).

Almost surely, 2^90557160 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 90557160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136326240).

90557160 is an abundant number, since it is smaller than the sum of its proper divisors (182095320).

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

90557160 is a wasteful number, since it uses less digits than its factorization.

90557160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 90557160 is about 9516.1525838965. The cubic root of 90557160 is about 449.0633356587.

The spelling of 90557160 in words is "ninety million, five hundred fifty-seven thousand, one hundred sixty".