18768 has 40 divisors (see below), whose sum is σ = 53568. Its totient is φ = 5632.

The previous prime is 18757. The next prime is 18773. The reversal of 18768 is 86781.

18768 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 137²-1.

It is a nialpdrome in base 12.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 805 + ... + 827.

2¹⁸⁷⁶⁸ 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 18768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784).

18768 is an abundant number, since it is smaller than the sum of its proper divisors (34800).

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

18768 is a wasteful number, since it uses less digits than its factorization.

18768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 45 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 18768 is about 136.9963503163. The cubic root of 18768 is about 26.5749627792.

It can be divided in two parts, 18 and 768, that multiplied together give a cube (13824 = 24³).

The spelling of 18768 in words is "eighteen thousand, seven hundred sixty-eight".