21795600 has 120 divisors (see below), whose sum is σ = 71682912. Its totient is φ = 5657600.

The previous prime is 21795593. The next prime is 21795601. The reversal of 21795600 is 659712.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21795601) 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, 48979 + ... + 49421.

Almost surely, 2^21795600 is an apocalyptic number.

21795600 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 21795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35841456).

21795600 is an abundant number, since it is smaller than the sum of its proper divisors (49887312).

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

21795600 is a wasteful number, since it uses less digits than its factorization.

21795600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 21795600 is about 4668.5757999630. The cubic root of 21795600 is about 279.3334485196. Note that the first 3 decimals are identical.

The spelling of 21795600 in words is "twenty-one million, seven hundred ninety-five thousand, six hundred".