168966 has 40 divisors (see below), whose sum is σ = 435600. Its totient is φ = 47952.

The previous prime is 168943. The next prime is 168977. The reversal of 168966 is 669861.

It is a self number, because there is not a number n which added to its sum of digits gives 168966.

It is a congruent number.

It is an unprimeable number.

168966 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 19 ways as a sum of consecutive naturals, for example, 1060 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (10890).

2¹⁶⁸⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217800).

168966 is an abundant number, since it is smaller than the sum of its proper divisors (266634).

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

168966 is a wasteful number, since it uses less digits than its factorization.

168966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 168966 is about 411.0547408801. The cubic root of 168966 is about 55.2840402285.

The spelling of 168966 in words is "one hundred sixty-eight thousand, nine hundred sixty-six".