19938144 has 96 divisors (see below), whose sum is σ = 58423680. Its totient is φ = 5916672.

The previous prime is 19938133. The next prime is 19938157. The reversal of 19938144 is 44183991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30687 + ... + 31329.

It is an arithmetic number, because the mean of its divisors is an integer number (608580).

Almost surely, 2^19938144 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 19938144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29211840).

19938144 is an abundant number, since it is smaller than the sum of its proper divisors (38485536).

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

19938144 is a wasteful number, since it uses less digits than its factorization.

19938144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 19938144 is about 4465.2148884460. The cubic root of 19938144 is about 271.1616343079.

The spelling of 19938144 in words is "nineteen million, nine hundred thirty-eight thousand, one hundred forty-four".