18168 has 16 divisors (see below), whose sum is σ = 45480. Its totient is φ = 6048.

The previous prime is 18149. The next prime is 18169. The reversal of 18168 is 86181.

18168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 757 = 18168 / (1 + 8 + 1 + 6 + 8).

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

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 355 + ... + 402.

2¹⁸¹⁶⁸ is an apocalyptic number.

It is an amenable number.

18168 is an abundant number, since it is smaller than the sum of its proper divisors (27312).

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 (22740).

18168 is a wasteful number, since it uses less digits than its factorization.

18168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 762 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 18168 is about 134.7887235640. The cubic root of 18168 is about 26.2886957641.

18168 divided by its sum of digits (24) gives a palindrome (757).

The spelling of 18168 in words is "eighteen thousand, one hundred sixty-eight".