906792 has 16 divisors (see below), whose sum is σ = 2267040. Its totient is φ = 302256.

The previous prime is 906779. The next prime is 906793. The reversal of 906792 is 297609.

906792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (906793) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18868 + ... + 18915.

It is an arithmetic number, because the mean of its divisors is an integer number (141690).

2⁹⁰⁶⁷⁹² is an apocalyptic number.

It is an amenable number.

906792 is an abundant number, since it is smaller than the sum of its proper divisors (1360248).

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

906792 is a wasteful number, since it uses less digits than its factorization.

906792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37792 (or 37788 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 906792 is about 952.2562680287. The cubic root of 906792 is about 96.7912042642.

The spelling of 906792 in words is "nine hundred six thousand, seven hundred ninety-two".