18912 has 24 divisors (see below), whose sum is σ = 49896. Its totient is φ = 6272.

The previous prime is 18911. The next prime is 18913. The reversal of 18912 is 21981.

It is an interprime number because it is at equal distance from previous prime (18911) and next prime (18913).

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

18912 is an undulating number in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18911) 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, 3 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (2079).

2¹⁸⁹¹² is an apocalyptic number.

18912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948).

18912 is an abundant number, since it is smaller than the sum of its proper divisors (30984).

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

18912 is a wasteful number, since it uses less digits than its factorization.

18912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 18912 is about 137.5209075014. The cubic root of 18912 is about 26.6427563453.

The spelling of 18912 in words is "eighteen thousand, nine hundred twelve".