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18336 = 253191

18336 has 24 divisors (see below), whose sum is σ = 48384. Its totient is φ = 6080.

The previous prime is 18329. The next prime is 18341. The reversal of 18336 is 63381.

18336 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

18336 is a nontrivial binomial coefficient, being equal to C(192, 2).

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

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

18336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

218336 is an apocalyptic number.

18336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18336 is the 191-st triangular number and also the 96-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192).

18336 is an abundant number, since it is smaller than the sum of its proper divisors (30048).

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

18336 is a wasteful number, since it uses less digits than its factorization.

18336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 18336 is about 135.4104870385. The cubic root of 18336 is about 26.3694780411.

The spelling of 18336 in words is "eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3056 4584 6112 9168 18336