19874944 has 64 divisors (see below), whose sum is σ = 42546240. Its totient is φ = 9225216.

The previous prime is 19874891. The next prime is 19874963. The reversal of 19874944 is 44947891.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 19874894 and 19874903.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126514 + ... + 126670.

It is an arithmetic number, because the mean of its divisors is an integer number (664785).

Almost surely, 2^19874944 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 19874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273120).

19874944 is an abundant number, since it is smaller than the sum of its proper divisors (22671296).

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

19874944 is a wasteful number, since it uses less digits than its factorization.

19874944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 19874944 is about 4458.1323443792. The cubic root of 19874944 is about 270.8748213418.

The spelling of 19874944 in words is "nineteen million, eight hundred seventy-four thousand, nine hundred forty-four".