21853312 has 64 divisors (see below), whose sum is σ = 49008960. Its totient is φ = 9630720.

The previous prime is 21853309. The next prime is 21853343. The reversal of 21853312 is 21335812.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37987 + ... + 38557.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 2^21853312 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 21853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24504480).

21853312 is an abundant number, since it is smaller than the sum of its proper divisors (27155648).

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

21853312 is a wasteful number, since it uses less digits than its factorization.

21853312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 609 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 21853312 is about 4674.7526137754. The cubic root of 21853312 is about 279.5797778120.

The spelling of 21853312 in words is "twenty-one million, eight hundred fifty-three thousand, three hundred twelve".