92904 has 48 divisors (see below), whose sum is σ = 273600. Its totient is φ = 26208.

The previous prime is 92899. The next prime is 92921. The reversal of 92904 is 40929.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1137 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (5700).

2⁹²⁹⁰⁴ 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 92904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800).

92904 is an abundant number, since it is smaller than the sum of its proper divisors (180696).

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

92904 is a wasteful number, since it uses less digits than its factorization.

92904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 92904 is about 304.8015747991. The cubic root of 92904 is about 45.2909542435.

The spelling of 92904 in words is "ninety-two thousand, nine hundred four".