21652800 has 168 divisors, whose sum is σ = 76724256. Its totient is φ = 5314560.

The previous prime is 21652793. The next prime is 21652801. The reversal of 21652800 is 825612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21652801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62227 + ... + 62573.

It is an arithmetic number, because the mean of its divisors is an integer number (456692).

Almost surely, 2^21652800 is an apocalyptic number.

21652800 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 21652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38362128).

21652800 is an abundant number, since it is smaller than the sum of its proper divisors (55071456).

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

21652800 is a wasteful number, since it uses less digits than its factorization.

21652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 21652800 is about 4653.2569239190. The cubic root of 21652800 is about 278.7220674887.

The spelling of 21652800 in words is "twenty-one million, six hundred fifty-two thousand, eight hundred".