168112 has 40 divisors (see below), whose sum is σ = 396800. Its totient is φ = 67392.

The previous prime is 168109. The next prime is 168127. The reversal of 168112 is 211861.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 168112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2089 + ... + 2167.

It is an arithmetic number, because the mean of its divisors is an integer number (9920).

2¹⁶⁸¹¹² 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 168112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198400).

168112 is an abundant number, since it is smaller than the sum of its proper divisors (228688).

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

168112 is a wasteful number, since it uses less digits than its factorization.

168112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 96, while the sum is 19.

The square root of 168112 is about 410.0146338852. The cubic root of 168112 is about 55.1907426890.

Multiplying 168112 by its sum of digits (19), we get a triangular number (3194128 = T₂₅₂₇).

Adding to 168112 its reverse (211861), we get a palindrome (379973).

It can be divided in two parts, 16 and 8112, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 168112 in words is "one hundred sixty-eight thousand, one hundred twelve".