167960 has 64 divisors (see below), whose sum is σ = 453600. Its totient is φ = 55296.

The previous prime is 167953. The next prime is 167971. The reversal of 167960 is 69761.

It is a happy number.

167960 is a nontrivial binomial coefficient, being equal to C(20, 9).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 8831 + ... + 8849.

2¹⁶⁷⁹⁶⁰ is an apocalyptic number.

167960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

167960 is an abundant number, since it is smaller than the sum of its proper divisors (285640).

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

167960 is a wasteful number, since it uses less digits than its factorization.

167960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 167960 is about 409.8292327299. The cubic root of 167960 is about 55.1741039353.

The spelling of 167960 in words is "one hundred sixty-seven thousand, nine hundred sixty".