21600960 has 56 divisors (see below), whose sum is σ = 68586096. Its totient is φ = 5760000.

The previous prime is 21600937. The next prime is 21600961. The reversal of 21600960 is 6900612.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21600960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21600961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10291 + ... + 12210.

Almost surely, 2^21600960 is an apocalyptic number.

21600960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21600960 is an abundant number, since it is smaller than the sum of its proper divisors (46985136).

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

21600960 is a wasteful number, since it uses less digits than its factorization.

21600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22521 (or 22511 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 21600960 is about 4647.6832938573. The cubic root of 21600960 is about 278.4994558124.

The spelling of 21600960 in words is "twenty-one million, six hundred thousand, nine hundred sixty".