18264 has 16 divisors (see below), whose sum is σ = 45720. Its totient is φ = 6080.

The previous prime is 18257. The next prime is 18269. The reversal of 18264 is 46281.

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

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 18264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18269) by changing a digit.

18264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 357 + ... + 404.

2¹⁸²⁶⁴ is an apocalyptic number.

It is an amenable number.

18264 is an abundant number, since it is smaller than the sum of its proper divisors (27456).

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 (22860).

18264 is a wasteful number, since it uses less digits than its factorization.

18264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 766 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 18264 is about 135.1443672522. The cubic root of 18264 is about 26.3349177419.

It can be divided in two parts, 1826 and 4, that added together give a triangular number (1830 = T₆₀).

The spelling of 18264 in words is "eighteen thousand, two hundred sixty-four".