21852800 has 48 divisors (see below), whose sum is σ = 53991150. Its totient is φ = 8739840.

The previous prime is 21852797. The next prime is 21852827. The reversal of 21852800 is 825812.

It can be written as a sum of positive squares in 3 ways, for example, as 16581184 + 5271616 = 4072^2 + 2296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21852800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215 + ... + 6614.

Almost surely, 2^21852800 is an apocalyptic number.

21852800 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 21852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26995575).

21852800 is an abundant number, since it is smaller than the sum of its proper divisors (32138350).

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

21852800 is an equidigital number, since it uses as much as digits as its factorization.

21852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6853 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 21852800 is about 4674.6978511985. The cubic root of 21852800 is about 279.5775943754.

The spelling of 21852800 in words is "twenty-one million, eight hundred fifty-two thousand, eight hundred".