90792 has 48 divisors (see below), whose sum is σ = 267540. Its totient is φ = 27648.

The previous prime is 90787. The next prime is 90793. The reversal of 90792 is 29709.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 4356 = 294^2 + 66^2 .

It is not an unprimeable number, because it can be changed into a prime (90793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888 + ... + 984.

2⁹⁰⁷⁹² 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 90792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133770).

90792 is an abundant number, since it is smaller than the sum of its proper divisors (176748).

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

90792 is a wasteful number, since it uses less digits than its factorization.

90792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

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

The square root of 90792 is about 301.3171087078. The cubic root of 90792 is about 44.9451182790.

It can be divided in two parts, 907 and 92, that added together give a palindrome (999).

The spelling of 90792 in words is "ninety thousand, seven hundred ninety-two".