90568800 has 288 divisors, whose sum is σ = 374976000. Its totient is φ = 20666880.

The previous prime is 90568799. The next prime is 90568823. The reversal of 90568800 is 886509.

90568800 is a `hidden beast` number, since 90 + 568 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 150901 + ... + 151499.

It is an arithmetic number, because the mean of its divisors is an integer number (1302000).

Almost surely, 2^90568800 is an apocalyptic number.

90568800 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 90568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

90568800 is an abundant number, since it is smaller than the sum of its proper divisors (284407200).

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

90568800 is a wasteful number, since it uses less digits than its factorization.

90568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 616 counting only the distinct ones).

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

The square root of 90568800 is about 9516.7641559513. The cubic root of 90568800 is about 449.0825753422.

The spelling of 90568800 in words is "ninety million, five hundred sixty-eight thousand, eight hundred".