21888960 has 84 divisors (see below), whose sum is σ = 69960744. Its totient is φ = 5798400.

The previous prime is 21888953. The next prime is 21888961. The reversal of 21888960 is 6988812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21888961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144885 + ... + 145035.

It is an arithmetic number, because the mean of its divisors is an integer number (832866).

Almost surely, 2^21888960 is an apocalyptic number.

21888960 is a gapful number since it is divisible by the number (20) 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 21888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34980372).

21888960 is an abundant number, since it is smaller than the sum of its proper divisors (48071784).

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

21888960 is an equidigital number, since it uses as much as digits as its factorization.

21888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 21888960 is about 4678.5638822186. The cubic root of 21888960 is about 279.7317158126.

The spelling of 21888960 in words is "twenty-one million, eight hundred eighty-eight thousand, nine hundred sixty".