21907200 has 216 divisors, whose sum is σ = 83133568. Its totient is φ = 4976640.

The previous prime is 21907189. The next prime is 21907229. The reversal of 21907200 is 270912.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134319 + ... + 134481.

Almost surely, 2^21907200 is an apocalyptic number.

21907200 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 21907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41566784).

21907200 is an abundant number, since it is smaller than the sum of its proper divisors (61226368).

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

21907200 is a wasteful number, since it uses less digits than its factorization.

21907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 21907200 is about 4680.5127924192. The cubic root of 21907200 is about 279.8093940868.

The spelling of 21907200 in words is "twenty-one million, nine hundred seven thousand, two hundred".