90528960 has 112 divisors (see below), whose sum is σ = 289572192. Its totient is φ = 23961600.

The previous prime is 90528947. The next prime is 90529009. The reversal of 90528960 is 6982509.

It is a happy 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, 173500 + ... + 174020.

It is an arithmetic number, because the mean of its divisors is an integer number (2585466).

Almost surely, 2^90528960 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 90528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144786096).

90528960 is an abundant number, since it is smaller than the sum of its proper divisors (199043232).

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

90528960 is a wasteful number, since it uses less digits than its factorization.

90528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 90528960 is about 9514.6707772786. The cubic root of 90528960 is about 449.0167172179.

The spelling of 90528960 in words is "ninety million, five hundred twenty-eight thousand, nine hundred sixty".