19944 has 24 divisors (see below), whose sum is σ = 54210. Its totient is φ = 6624.

The previous prime is 19937. The next prime is 19949. The reversal of 19944 is 44991.

19944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 900 = 138^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (19949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67 + ... + 210.

2¹⁹⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

19944 is an abundant number, since it is smaller than the sum of its proper divisors (34266).

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

19944 is a wasteful number, since it uses less digits than its factorization.

19944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

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

The square root of 19944 is about 141.2232275513. The cubic root of 19944 is about 27.1188179191.

It can be divided in two parts, 199 and 44, that added together give a 5-th power (243 = 3⁵).

The spelling of 19944 in words is "nineteen thousand, nine hundred forty-four".