90588160 has 88 divisors (see below), whose sum is σ = 234193176. Its totient is φ = 33423360.

The previous prime is 90588151. The next prime is 90588161. The reversal of 90588160 is 6188509.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 90326016 = 512^2 + 9504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90588161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65880 + ... + 67240.

Almost surely, 2^90588160 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 90588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117096588).

90588160 is an abundant number, since it is smaller than the sum of its proper divisors (143605016).

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

90588160 is a wasteful number, since it uses less digits than its factorization.

90588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 90588160 is about 9517.7812540529. The cubic root of 90588160 is about 449.1145717149.

The spelling of 90588160 in words is "ninety million, five hundred eighty-eight thousand, one hundred sixty".