18684 has 24 divisors (see below), whose sum is σ = 48720. Its totient is φ = 6192.

The previous prime is 18679. The next prime is 18691. The reversal of 18684 is 48681.

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (2030).

2¹⁸⁶⁸⁴ 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 18684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24360).

18684 is an abundant number, since it is smaller than the sum of its proper divisors (30036).

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

18684 is a wasteful number, since it uses less digits than its factorization.

18684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 18684 is about 136.6894289987. The cubic root of 18684 is about 26.5352562655.

The spelling of 18684 in words is "eighteen thousand, six hundred eighty-four".