18336960 has 84 divisors (see below), whose sum is σ = 63081408. Its totient is φ = 4889088.

The previous prime is 18336953. The next prime is 18336971. The reversal of 18336960 is 6963381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304 + ... + 6063.

Almost surely, 2^18336960 is an apocalyptic number.

18336960 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 18336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31540704).

18336960 is an abundant number, since it is smaller than the sum of its proper divisors (44744448).

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

18336960 is a wasteful number, since it uses less digits than its factorization.

18336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 18336960 is about 4282.1676753719. The cubic root of 18336960 is about 263.6993823335.

The spelling of 18336960 in words is "eighteen million, three hundred thirty-six thousand, nine hundred sixty".