167796 has 36 divisors (see below), whose sum is σ = 436800. Its totient is φ = 54288.

The previous prime is 167779. The next prime is 167801. The reversal of 167796 is 697761.

167796 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 167796.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2085 + ... + 2163.

2¹⁶⁷⁷⁹⁶ 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 167796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218400).

167796 is an abundant number, since it is smaller than the sum of its proper divisors (269004).

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

167796 is a wasteful number, since it uses less digits than its factorization.

167796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 167796 is about 409.6291005288. The cubic root of 167796 is about 55.1561403334.

The spelling of 167796 in words is "one hundred sixty-seven thousand, seven hundred ninety-six".