21905568 has 72 divisors (see below), whose sum is σ = 65022048. Its totient is φ = 6982272.

The previous prime is 21905531. The next prime is 21905573. The reversal of 21905568 is 86550912.

It is a happy number.

21905568 is a `hidden beast` number, since 2 + 1 + 90 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4971 + ... + 8277.

It is an arithmetic number, because the mean of its divisors is an integer number (903084).

Almost surely, 2^21905568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21905568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32511024).

21905568 is an abundant number, since it is smaller than the sum of its proper divisors (43116480).

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

21905568 is a wasteful number, since it uses less digits than its factorization.

21905568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 21905568 is about 4680.3384493004. The cubic root of 21905568 is about 279.8024456821.

The spelling of 21905568 in words is "twenty-one million, nine hundred five thousand, five hundred sixty-eight".