181944 has 72 divisors (see below), whose sum is σ = 594360. Its totient is φ = 49248.

The previous prime is 181943. The next prime is 181957. The reversal of 181944 is 449181.

181944 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 (72).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 181944.

It is not an unprimeable number, because it can be changed into a prime (181943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9567 + ... + 9585.

It is an arithmetic number, because the mean of its divisors is an integer number (8255).

2¹⁸¹⁹⁴⁴ is an apocalyptic number.

181944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297180).

181944 is an abundant number, since it is smaller than the sum of its proper divisors (412416).

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

181944 is a wasteful number, since it uses less digits than its factorization.

181944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 31 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 181944 is about 426.5489420922. The cubic root of 181944 is about 56.6646981246.

The spelling of 181944 in words is "one hundred eighty-one thousand, nine hundred forty-four".