21882880 has 48 divisors (see below), whose sum is σ = 52530660. Its totient is φ = 8749056.

The previous prime is 21882841. The next prime is 21882899. The reversal of 21882880 is 8828812.

It can be written as a sum of positive squares in 2 ways, for example, as 19219456 + 2663424 = 4384^2 + 1632^2 .

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, 9172 + ... + 11308.

Almost surely, 2^21882880 is an apocalyptic number.

21882880 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 21882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265330).

21882880 is an abundant number, since it is smaller than the sum of its proper divisors (30647780).

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

21882880 is an equidigital number, since it uses as much as digits as its factorization.

21882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 21882880 is about 4677.9140650508. The cubic root of 21882880 is about 279.7058134654.

The spelling of 21882880 in words is "twenty-one million, eight hundred eighty-two thousand, eight hundred eighty".