90909792 has 72 divisors (see below), whose sum is σ = 264864600. Its totient is φ = 29560320.

The previous prime is 90909773. The next prime is 90909857. The reversal of 90909792 is 29790909.

It is a tau number, because it is divible by the number of its divisors (72).

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, 7959 + ... + 15657.

It is an arithmetic number, because the mean of its divisors is an integer number (3678675).

Almost surely, 2^90909792 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 90909792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132432300).

90909792 is an abundant number, since it is smaller than the sum of its proper divisors (173954808).

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

90909792 is a wasteful number, since it uses less digits than its factorization.

90909792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7756 (or 7745 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 90909792 is about 9534.6626579025. The cubic root of 90909792 is about 449.6454689053.

The spelling of 90909792 in words is "ninety million, nine hundred nine thousand, seven hundred ninety-two".