18456 has 16 divisors (see below), whose sum is σ = 46200. Its totient is φ = 6144.

The previous prime is 18451. The next prime is 18457. The reversal of 18456 is 65481.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 769 = 18456 / (1 + 8 + 4 + 5 + 6).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 361 + ... + 408.

2¹⁸⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

18456 is an abundant number, since it is smaller than the sum of its proper divisors (27744).

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 (23100).

18456 is a wasteful number, since it uses less digits than its factorization.

18456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 774 counting only the distinct ones).

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

The square root of 18456 is about 135.8528615819. The cubic root of 18456 is about 26.4268780438.

It can be divided in two parts, 18 and 456, that added together give a palindrome (474).

The spelling of 18456 in words is "eighteen thousand, four hundred fifty-six".