19982144 has 112 divisors (see below), whose sum is σ = 50523648. Its totient is φ = 7630848.

The previous prime is 19982141. The next prime is 19982153. The reversal of 19982144 is 44128991.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 19982098 and 19982107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19982141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273692 + ... + 273764.

It is an arithmetic number, because the mean of its divisors is an integer number (451104).

Almost surely, 2^19982144 is an apocalyptic number.

19982144 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 19982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25261824).

19982144 is an abundant number, since it is smaller than the sum of its proper divisors (30541504).

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

19982144 is a wasteful number, since it uses less digits than its factorization.

19982144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 19982144 is about 4470.1391477224. The cubic root of 19982144 is about 271.3609565388.

The spelling of 19982144 in words is "nineteen million, nine hundred eighty-two thousand, one hundred forty-four".