90588720 has 80 divisors (see below), whose sum is σ = 293052672. Its totient is φ = 23105280.

The previous prime is 90588703. The next prime is 90588737. The reversal of 90588720 is 2788509.

It is an interprime number because it is at equal distance from previous prime (90588703) and next prime (90588737).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2686 + ... + 13725.

Almost surely, 2^90588720 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 90588720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146526336).

90588720 is an abundant number, since it is smaller than the sum of its proper divisors (202463952).

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

90588720 is a wasteful number, since it uses less digits than its factorization.

90588720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16450 (or 16444 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 90588720 is about 9517.8106726284. The cubic root of 90588720 is about 449.1154971619.

The spelling of 90588720 in words is "ninety million, five hundred eighty-eight thousand, seven hundred twenty".