18504 has 24 divisors (see below), whose sum is σ = 50310. Its totient is φ = 6144.

The previous prime is 18503. The next prime is 18517. The reversal of 18504 is 40581.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 8100 = 102^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

18504 is an undulating number in base 16.

It is a nialpdrome in base 8 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18503) 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, 57 + ... + 200.

2¹⁸⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

18504 is an abundant number, since it is smaller than the sum of its proper divisors (31806).

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

18504 is a wasteful number, since it uses less digits than its factorization.

18504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 18504 is about 136.0294085851. The cubic root of 18504 is about 26.4497683783.

The spelling of 18504 in words is "eighteen thousand, five hundred four".