90992160 has 480 divisors, whose sum is σ = 395176320. Its totient is φ = 19243008.

The previous prime is 90992137. The next prime is 90992179. The reversal of 90992160 is 6129909.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1542211 + ... + 1542269.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 2^90992160 is an apocalyptic number.

90992160 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 90992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197588160).

90992160 is an abundant number, since it is smaller than the sum of its proper divisors (304184160).

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

90992160 is a wasteful number, since it uses less digits than its factorization.

90992160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 90992160 is about 9538.9810776623. The cubic root of 90992160 is about 449.7812269914.

The spelling of 90992160 in words is "ninety million, nine hundred ninety-two thousand, one hundred sixty".