164904 has 16 divisors (see below), whose sum is σ = 412320. Its totient is φ = 54960.

The previous prime is 164893. The next prime is 164911. The reversal of 164904 is 409461.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 6871 = 164904 / (1 + 6 + 4 + 9 + 0 + 4).

It is an unprimeable number.

164904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3412 + ... + 3459.

It is an arithmetic number, because the mean of its divisors is an integer number (25770).

2¹⁶⁴⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

164904 is an abundant number, since it is smaller than the sum of its proper divisors (247416).

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

164904 is a wasteful number, since it uses less digits than its factorization.

164904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 164904 is about 406.0837352074. The cubic root of 164904 is about 54.8374262601.

The spelling of 164904 in words is "one hundred sixty-four thousand, nine hundred four".