167920 has 20 divisors (see below), whose sum is σ = 390600. Its totient is φ = 67136.

The previous prime is 167917. The next prime is 167953. The reversal of 167920 is 29761.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 970 + ... + 1129.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2¹⁶⁷⁹²⁰ is an apocalyptic number.

167920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167920 is an abundant number, since it is smaller than the sum of its proper divisors (222680).

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

167920 is a wasteful number, since it uses less digits than its factorization.

167920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 167920 is about 409.7804290105. The cubic root of 167920 is about 55.1697236476.

The spelling of 167920 in words is "one hundred sixty-seven thousand, nine hundred twenty".