18368 has 28 divisors (see below), whose sum is σ = 42672. Its totient is φ = 7680.

The previous prime is 18367. The next prime is 18371. The reversal of 18368 is 86381.

18368 = T₇ + T₈ + ... + T₄₇.

It is a tau number, because it is divible by the number of its divisors (28).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18367) 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, 428 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (1524).

2¹⁸³⁶⁸ 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 18368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336).

18368 is an abundant number, since it is smaller than the sum of its proper divisors (24304).

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

18368 is an equidigital number, since it uses as much as digits as its factorization.

18368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 50 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 18368 is about 135.5285947688. The cubic root of 18368 is about 26.3848091364.

The spelling of 18368 in words is "eighteen thousand, three hundred sixty-eight".