90413568 has 120 divisors (see below), whose sum is σ = 298323168. Its totient is φ = 25823232.

The previous prime is 90413509. The next prime is 90413573. The reversal of 90413568 is 86531409.

90413568 is a `hidden beast` number, since 90 + 4 + 1 + 3 + 568 = 666.

It is a super-2 number, since 2×90413568² = 16349226556981248, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30855 + ... + 33657.

Almost surely, 2^90413568 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 90413568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149161584).

90413568 is an abundant number, since it is smaller than the sum of its proper divisors (207909600).

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

90413568 is a wasteful number, since it uses less digits than its factorization.

90413568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 90413568 is about 9508.6049449959. The cubic root of 90413568 is about 448.8258576044.

The spelling of 90413568 in words is "ninety million, four hundred thirteen thousand, five hundred sixty-eight".