21600768 has 160 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 6021120.

The previous prime is 21600757. The next prime is 21600779. The reversal of 21600768 is 86700612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21600757) and next prime (21600779).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526828 + ... + 526868.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 2^21600768 is an apocalyptic number.

21600768 is a gapful number since it is divisible by the number (28) 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 21600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

21600768 is an abundant number, since it is smaller than the sum of its proper divisors (47144832).

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

21600768 is an frugal number, since it uses more digits than its factorization.

21600768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 21600768 is about 4647.6626383592. The cubic root of 21600768 is about 278.4986306630.

The spelling of 21600768 in words is "twenty-one million, six hundred thousand, seven hundred sixty-eight".