21834880 has 64 divisors (see below), whose sum is σ = 52846200. Its totient is φ = 8626176.

The previous prime is 21834871. The next prime is 21834899. The reversal of 21834880 is 8843812.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 9388096 = 3528^2 + 3064^2 .

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

It is a super-2 number, since 2×21834880² = 953523969228800, which contains 22 as substring.

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, 69604 + ... + 69916.

Almost surely, 2^21834880 is an apocalyptic number.

21834880 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 21834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26423100).

21834880 is an abundant number, since it is smaller than the sum of its proper divisors (31011320).

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

21834880 is a wasteful number, since it uses less digits than its factorization.

21834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 21834880 is about 4672.7807566801. The cubic root of 21834880 is about 279.5011525987.

The spelling of 21834880 in words is "twenty-one million, eight hundred thirty-four thousand, eight hundred eighty".