18396 has 36 divisors (see below), whose sum is σ = 53872. Its totient is φ = 5184.

The previous prime is 18379. The next prime is 18397. The reversal of 18396 is 69381.

18396 = 5³ + 6³ + ... + 16³.

18396 is nontrivially palindromic in base 8.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18397) by changing a digit.

18396 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 11 ways as a sum of consecutive naturals, for example, 216 + ... + 288.

2¹⁸³⁹⁶ 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 18396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26936).

18396 is an abundant number, since it is smaller than the sum of its proper divisors (35476).

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

18396 is a wasteful number, since it uses less digits than its factorization.

18396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 18396 is about 135.6318546655. The cubic root of 18396 is about 26.3982092449.

It can be divided in two parts, 18 and 396, that added together give a palindrome (414).

The spelling of 18396 in words is "eighteen thousand, three hundred ninety-six".