21852768 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 6036480.

The previous prime is 21852767. The next prime is 21852773. The reversal of 21852768 is 86725812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21852767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20308 + ... + 21356.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 2^21852768 is an apocalyptic number.

21852768 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 21852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

21852768 is an abundant number, since it is smaller than the sum of its proper divisors (45884832).

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

21852768 is a wasteful number, since it uses less digits than its factorization.

21852768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 21852768 is about 4674.6944285162. The cubic root of 21852768 is about 279.5774579095.

The spelling of 21852768 in words is "twenty-one million, eight hundred fifty-two thousand, seven hundred sixty-eight".