90575600 has 60 divisors (see below), whose sum is σ = 218554464. Its totient is φ = 36072960.

The previous prime is 90575599. The next prime is 90575629. The reversal of 90575600 is 657509.

It is a congruent number.

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, 146492 + ... + 147108.

Almost surely, 2^90575600 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 90575600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109277232).

90575600 is an abundant number, since it is smaller than the sum of its proper divisors (127978864).

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

90575600 is a wasteful number, since it uses less digits than its factorization.

90575600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 90575600 is about 9517.1214135368. The cubic root of 90575600 is about 449.0938142570.

The spelling of 90575600 in words is "ninety million, five hundred seventy-five thousand, six hundred".