13644 has 18 divisors (see below), whose sum is σ = 34580. Its totient is φ = 4536.

The previous prime is 13633. The next prime is 13649. The reversal of 13644 is 44631.

13644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13644.

It is not an unprimeable number, because it can be changed into a prime (13649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 154 + ... + 225.

2¹³⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

13644 is an abundant number, since it is smaller than the sum of its proper divisors (20936).

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

13644 is a wasteful number, since it uses less digits than its factorization.

13644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 384 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 13644 is about 116.8075340036. The cubic root of 13644 is about 23.8953779219.

The spelling of 13644 in words is "thirteen thousand, six hundred forty-four".