90000792 has 96 divisors (see below), whose sum is σ = 280001280. Its totient is φ = 25583040.

The previous prime is 90000769. The next prime is 90000821. The reversal of 90000792 is 29700009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142317 + ... + 142947.

It is an arithmetic number, because the mean of its divisors is an integer number (2916680).

Almost surely, 2^90000792 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 90000792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140000640).

90000792 is an abundant number, since it is smaller than the sum of its proper divisors (190000488).

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

90000792 is a wasteful number, since it uses less digits than its factorization.

90000792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 90000792 is about 9486.8747224784. The cubic root of 90000792 is about 448.1417891973.

The spelling of 90000792 in words is "ninety million, seven hundred ninety-two", and thus it is an aban number.