90938560 has 56 divisors (see below), whose sum is σ = 227959920. Its totient is φ = 34458624.

The previous prime is 90938557. The next prime is 90938569. The reversal of 90938560 is 6583909.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (90938569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1399 + ... + 13558.

Almost surely, 2^90938560 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 90938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113979960).

90938560 is an abundant number, since it is smaller than the sum of its proper divisors (137021360).

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

90938560 is a wasteful number, since it uses less digits than its factorization.

90938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14993 (or 14983 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 90938560 is about 9536.1711394039. The cubic root of 90938560 is about 449.6928933406.

The spelling of 90938560 in words is "ninety million, nine hundred thirty-eight thousand, five hundred sixty".