90865792 has 32 divisors (see below), whose sum is σ = 182437200. Its totient is φ = 45077760.

The previous prime is 90865777. The next prime is 90865843. The reversal of 90865792 is 29756809.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14059 + ... + 19477.

Almost surely, 2^90865792 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 90865792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91218600).

90865792 is an abundant number, since it is smaller than the sum of its proper divisors (91571408).

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

90865792 is a wasteful number, since it uses less digits than its factorization.

90865792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 90865792 is about 9532.3550080764. The cubic root of 90865792 is about 449.5729149559.

It can be divided in two parts, 9086 and 5792, that added together give a triangular number (14878 = T₁₇₂).

The spelling of 90865792 in words is "ninety million, eight hundred sixty-five thousand, seven hundred ninety-two".