90125568 has 288 divisors, whose sum is σ = 309052800. Its totient is φ = 25657344.

The previous prime is 90125543. The next prime is 90125579. The reversal of 90125568 is 86552109.

It is a happy number.

90125568 is a `hidden beast` number, since 90 + 1 + 2 + 5 + 568 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527523 + ... + 1527581.

It is an arithmetic number, because the mean of its divisors is an integer number (1073100).

Almost surely, 2^90125568 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 90125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154526400).

90125568 is an abundant number, since it is smaller than the sum of its proper divisors (218927232).

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

90125568 is a wasteful number, since it uses less digits than its factorization.

90125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 90125568 is about 9493.4486884377. The cubic root of 90125568 is about 448.3487930006.

The spelling of 90125568 in words is "ninety million, one hundred twenty-five thousand, five hundred sixty-eight".