21827968 has 32 divisors (see below), whose sum is σ = 44896320. Its totient is φ = 10560000.

The previous prime is 21827951. The next prime is 21827977. The reversal of 21827968 is 86972812.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1218 + ... + 6718.

It is an arithmetic number, because the mean of its divisors is an integer number (1403010).

Almost surely, 2^21827968 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 21827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22448160).

21827968 is an abundant number, since it is smaller than the sum of its proper divisors (23068352).

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

21827968 is an equidigital number, since it uses as much as digits as its factorization.

21827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546 (or 5534 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The square root of 21827968 is about 4672.0410957097. The cubic root of 21827968 is about 279.4716567361.

The spelling of 21827968 in words is "twenty-one million, eight hundred twenty-seven thousand, nine hundred sixty-eight".