21955600 has 60 divisors (see below), whose sum is σ = 53277840. Its totient is φ = 8694400.

The previous prime is 21955589. The next prime is 21955613. The reversal of 21955600 is 655912.

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, 52191 + ... + 52609.

It is an arithmetic number, because the mean of its divisors is an integer number (887964).

Almost surely, 2^21955600 is an apocalyptic number.

21955600 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 21955600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26638920).

21955600 is an abundant number, since it is smaller than the sum of its proper divisors (31322240).

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

21955600 is a wasteful number, since it uses less digits than its factorization.

21955600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 21955600 is about 4685.6803134657. The cubic root of 21955600 is about 280.0153052858.

The spelling of 21955600 in words is "twenty-one million, nine hundred fifty-five thousand, six hundred".