27168 has 24 divisors (see below), whose sum is σ = 71568. Its totient is φ = 9024.

The previous prime is 27143. The next prime is 27179. The reversal of 27168 is 86172.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

27168 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (2982).

2²⁷¹⁶⁸ is an apocalyptic number.

It is an amenable number.

27168 is an abundant number, since it is smaller than the sum of its proper divisors (44400).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35784).

27168 is a wasteful number, since it uses less digits than its factorization.

27168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 27168 is about 164.8271822243. The cubic root of 27168 is about 30.0620936130.

The spelling of 27168 in words is "twenty-seven thousand, one hundred sixty-eight".