18864 has 30 divisors (see below), whose sum is σ = 53196. Its totient is φ = 6240.

The previous prime is 18859. The next prime is 18869. The reversal of 18864 is 46881.

It is an interprime number because it is at equal distance from previous prime (18859) and next prime (18869).

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

It is not an unprimeable number, because it can be changed into a prime (18869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79 + ... + 209.

2¹⁸⁸⁶⁴ 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 18864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598).

18864 is an abundant number, since it is smaller than the sum of its proper divisors (34332).

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

18864 is a wasteful number, since it uses less digits than its factorization.

18864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

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

The square root of 18864 is about 137.3462777071. The cubic root of 18864 is about 26.6201968457.

It can be divided in two parts, 188 and 64, that added together give a palindrome (252).

The spelling of 18864 in words is "eighteen thousand, eight hundred sixty-four".