21744800 has 144 divisors (see below), whose sum is σ = 66370752. Its totient is φ = 6758400.

The previous prime is 21744763. The next prime is 21744803. The reversal of 21744800 is 844712.

It is a self number, because there is not a number n which added to its sum of digits gives 21744800.

It is not an unprimeable number, because it can be changed into a prime (21744803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61424 + ... + 61776.

It is an arithmetic number, because the mean of its divisors is an integer number (460908).

Almost surely, 2^21744800 is an apocalyptic number.

21744800 is a gapful number since it is divisible by the number (20) 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 21744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33185376).

21744800 is an abundant number, since it is smaller than the sum of its proper divisors (44625952).

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

21744800 is a wasteful number, since it uses less digits than its factorization.

21744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 21744800 is about 4663.1319947006. The cubic root of 21744800 is about 279.1162612889.

The spelling of 21744800 in words is "twenty-one million, seven hundred forty-four thousand, eight hundred".