168912 has 80 divisors (see below), whose sum is σ = 535680. Its totient is φ = 50688.

The previous prime is 168901. The next prime is 168913. The reversal of 168912 is 219861.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168913) by changing a digit.

168912 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 15 ways as a sum of consecutive naturals, for example, 7333 + ... + 7355.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2¹⁶⁸⁹¹² is an apocalyptic number.

168912 is a gapful number since it is divisible by the number (12) 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 168912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

168912 is an abundant number, since it is smaller than the sum of its proper divisors (366768).

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

168912 is a wasteful number, since it uses less digits than its factorization.

168912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 168912 is about 410.9890509490. The cubic root of 168912 is about 55.2781501751.

The spelling of 168912 in words is "one hundred sixty-eight thousand, nine hundred twelve".