18336000 has 144 divisors (see below), whose sum is σ = 61221888. Its totient is φ = 4864000.

The previous prime is 18335983. The next prime is 18336001. The reversal of 18336000 is 63381.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18336001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95905 + ... + 96095.

It is an arithmetic number, because the mean of its divisors is an integer number (425152).

Almost surely, 2^18336000 is an apocalyptic number.

18336000 is a gapful number since it is divisible by the number (10) 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 18336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30610944).

18336000 is an abundant number, since it is smaller than the sum of its proper divisors (42885888).

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

18336000 is an equidigital number, since it uses as much as digits as its factorization.

18336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

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

The square root of 18336000 is about 4282.0555811432. The cubic root of 18336000 is about 263.6947804107.

Adding to 18336000 its reverse (63381), we get a palindrome (18399381).

The spelling of 18336000 in words is "eighteen million, three hundred thirty-six thousand".