168168 has 96 divisors (see below), whose sum is σ = 574560. Its totient is φ = 40320.

The previous prime is 168151. The next prime is 168193. The reversal of 168168 is 861861.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2304) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

168168 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 12930 + ... + 12942.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2¹⁶⁸¹⁶⁸ 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 168168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

168168 is an abundant number, since it is smaller than the sum of its proper divisors (406392).

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

168168 is a wasteful number, since it uses less digits than its factorization.

168168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 36 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 168168 is about 410.0829184446. The cubic root of 168168 is about 55.1968702279.

The spelling of 168168 in words is "one hundred sixty-eight thousand, one hundred sixty-eight".