21874944 has 144 divisors (see below), whose sum is σ = 71883392. Its totient is φ = 5750784.

The previous prime is 21874943. The next prime is 21874991. The reversal of 21874944 is 44947812.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (21874943) 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, 69732 + ... + 70044.

Almost surely, 2^21874944 is an apocalyptic number.

21874944 is a gapful number since it is divisible by the number (24) 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 21874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35941696).

21874944 is an abundant number, since it is smaller than the sum of its proper divisors (50008448).

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

21874944 is a wasteful number, since it uses less digits than its factorization.

21874944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 21874944 is about 4677.0657468118. The cubic root of 21874944 is about 279.6719968665.

The spelling of 21874944 in words is "twenty-one million, eight hundred seventy-four thousand, nine hundred forty-four".