90092160 has 96 divisors (see below), whose sum is σ = 311119380. Its totient is φ = 24023040.

The previous prime is 90092089. The next prime is 90092221. The reversal of 90092160 is 6129009.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 7354944 = 9096^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 2061 + ... + 13580.

Almost surely, 2^90092160 is an apocalyptic number.

90092160 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 90092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155559690).

90092160 is an abundant number, since it is smaller than the sum of its proper divisors (221027220).

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

90092160 is a wasteful number, since it uses less digits than its factorization.

90092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15666 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 90092160 is about 9491.6889961692. The cubic root of 90092160 is about 448.2933877553.

The spelling of 90092160 in words is "ninety million, ninety-two thousand, one hundred sixty".