18924 has 24 divisors (see below), whose sum is σ = 47040. Its totient is φ = 5904.

The previous prime is 18919. The next prime is 18947. The reversal of 18924 is 42981.

18924 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 18894 and 18903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (1960).

2¹⁸⁹²⁴ 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 18924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520).

18924 is an abundant number, since it is smaller than the sum of its proper divisors (28116).

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

18924 is a wasteful number, since it uses less digits than its factorization.

18924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 18924 is about 137.5645303121. The cubic root of 18924 is about 26.6483902546.

The spelling of 18924 in words is "eighteen thousand, nine hundred twenty-four".