167120 has 20 divisors (see below), whose sum is σ = 388740. Its totient is φ = 66816.

The previous prime is 167119. The next prime is 167149. The reversal of 167120 is 21761.

It is a happy number.

167120 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 59536 = 328^2 + 244^2 .

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 965 + ... + 1124.

It is an arithmetic number, because the mean of its divisors is an integer number (19437).

2¹⁶⁷¹²⁰ is an apocalyptic number.

167120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167120 is an abundant number, since it is smaller than the sum of its proper divisors (221620).

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

167120 is a wasteful number, since it uses less digits than its factorization.

167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 167120 is about 408.8031311035. The cubic root of 167120 is about 55.0819714338.

Adding to 167120 its reverse (21761), we get a palindrome (188881).

The spelling of 167120 in words is "one hundred sixty-seven thousand, one hundred twenty".