18564 has 48 divisors (see below), whose sum is σ = 56448. Its totient is φ = 4608.

The previous prime is 18553. The next prime is 18583. The reversal of 18564 is 46581.

18564 is nontrivially palindromic in base 16.

18564 is a nontrivial binomial coefficient, being equal to C(18, 6).

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 plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1084 + ... + 1100.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

2¹⁸⁵⁶⁴ is an apocalyptic number.

18564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224).

18564 is an abundant number, since it is smaller than the sum of its proper divisors (37884).

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

18564 is a wasteful number, since it uses less digits than its factorization.

18564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 42 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 18564 is about 136.2497706420. The cubic root of 18564 is about 26.4783256974.

The spelling of 18564 in words is "eighteen thousand, five hundred sixty-four".