86904 has 48 divisors (see below), whose sum is σ = 252720. Its totient is φ = 26880.

The previous prime is 86869. The next prime is 86923. The reversal of 86904 is 40968.

It is a congruent number.

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, 1189 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2⁸⁶⁹⁰⁴ 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 86904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360).

86904 is an abundant number, since it is smaller than the sum of its proper divisors (165816).

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

86904 is a wasteful number, since it uses less digits than its factorization.

86904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 86904 is about 294.7948439169. The cubic root of 86904 is about 44.2941721124.

It can be divided in two parts, 86 and 904, that added together give a triangular number (990 = T₄₄).

The spelling of 86904 in words is "eighty-six thousand, nine hundred four".