90056960 has 216 divisors, whose sum is σ = 271279680. Its totient is φ = 27979776.

The previous prime is 90056959. The next prime is 90056969. The reversal of 90056960 is 6965009.

It is a super-2 number, since 2×90056960² = 16220512088883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 90056960.

It is not an unprimeable number, because it can be changed into a prime (90056969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3915509 + ... + 3915531.

Almost surely, 2^90056960 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 90056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135639840).

90056960 is an abundant number, since it is smaller than the sum of its proper divisors (181222720).

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

90056960 is a wasteful number, since it uses less digits than its factorization.

90056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 90056960 is about 9489.8345612555. The cubic root of 90056960 is about 448.2349957604.

The spelling of 90056960 in words is "ninety million, fifty-six thousand, nine hundred sixty".