19944144 has 100 divisors (see below), whose sum is σ = 63016800. Its totient is φ = 6039360.

The previous prime is 19944109. The next prime is 19944149. The reversal of 19944144 is 44144991.

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 = 19944099 and 19944108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19944149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13557 + ... + 14955.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 2^19944144 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 19944144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31508400).

19944144 is an abundant number, since it is smaller than the sum of its proper divisors (43072656).

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

19944144 is a wasteful number, since it uses less digits than its factorization.

19944144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1415 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 19944144 is about 4465.8866980702. The cubic root of 19944144 is about 271.1888318684.

The spelling of 19944144 in words is "nineteen million, nine hundred forty-four thousand, one hundred forty-four".