90088560 has 120 divisors (see below), whose sum is σ = 304493904. Its totient is φ = 23869440.

The previous prime is 90088553. The next prime is 90088561. The reversal of 90088560 is 6588009.

90088560 is a `hidden beast` number, since 90 + 0 + 8 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90088561) 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 23 ways as a sum of consecutive naturals, for example, 151624 + ... + 152216.

Almost surely, 2^90088560 is an apocalyptic number.

90088560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90088560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152246952).

90088560 is an abundant number, since it is smaller than the sum of its proper divisors (214405344).

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

90088560 is a wasteful number, since it uses less digits than its factorization.

90088560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 90088560 is about 9491.4993546857. The cubic root of 90088560 is about 448.2874165450.

The spelling of 90088560 in words is "ninety million, eighty-eight thousand, five hundred sixty".