199944 has 24 divisors (see below), whose sum is σ = 541710. Its totient is φ = 66624.

The previous prime is 199933. The next prime is 199961. The reversal of 199944 is 449991.

It can be written as a sum of positive squares in only one way, i.e., 191844 + 8100 = 438^2 + 90^2 .

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

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

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

It is a junction number, because it is equal to n+sod(n) for n = 199899 and 199908.

It is an unprimeable number.

199944 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 5 ways as a sum of consecutive naturals, for example, 1317 + ... + 1460.

2¹⁹⁹⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

199944 is an abundant number, since it is smaller than the sum of its proper divisors (341766).

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

199944 is a wasteful number, since it uses less digits than its factorization.

199944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2782 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 199944 is about 447.1509812133. The cubic root of 199944 is about 58.4748960883.

Subtracting 199944 from its reverse (449991), we obtain a cube (250047 = 63³).

The spelling of 199944 in words is "one hundred ninety-nine thousand, nine hundred forty-four".