18788 has 24 divisors (see below), whose sum is σ = 41664. Its totient is φ = 7200.

The previous prime is 18787. The next prime is 18793. The reversal of 18788 is 88781.

18788 is nontrivially palindromic in base 8.

It is not an unprimeable number, because it can be changed into a prime (18787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (1736).

2¹⁸⁷⁸⁸ 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 18788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832).

18788 is an abundant number, since it is smaller than the sum of its proper divisors (22876).

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

18788 is a wasteful number, since it uses less digits than its factorization.

18788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 81 counting only the distinct ones).

The product of its digits is 3584, while the sum is 32.

The square root of 18788 is about 137.0693255254. The cubic root of 18788 is about 26.5843992414.

The spelling of 18788 in words is "eighteen thousand, seven hundred eighty-eight".