167904 has 72 divisors (see below), whose sum is σ = 530712. Its totient is φ = 49920.

The previous prime is 167899. The next prime is 167911. The reversal of 167904 is 409761.

167904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

167904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3142 + ... + 3194.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2¹⁶⁷⁹⁰⁴ 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 167904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356).

167904 is an abundant number, since it is smaller than the sum of its proper divisors (362808).

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

167904 is a wasteful number, since it uses less digits than its factorization.

167904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 167904 is about 409.7609058951. The cubic root of 167904 is about 55.1679713377.

The spelling of 167904 in words is "one hundred sixty-seven thousand, nine hundred four".