21939264 has 84 divisors (see below), whose sum is σ = 64488060. Its totient is φ = 7127040.

The previous prime is 21939241. The next prime is 21939277. The reversal of 21939264 is 46293912.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 21233664 = 840^2 + 4608^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23152 + ... + 24080.

It is an arithmetic number, because the mean of its divisors is an integer number (767715).

Almost surely, 2^21939264 is an apocalyptic number.

21939264 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 21939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32244030).

21939264 is an abundant number, since it is smaller than the sum of its proper divisors (42548796).

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

21939264 is a wasteful number, since it uses less digits than its factorization.

21939264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 975 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 21939264 is about 4683.9368057223. The cubic root of 21939264 is about 279.9458398647.

The spelling of 21939264 in words is "twenty-one million, nine hundred thirty-nine thousand, two hundred sixty-four".