21822080 has 64 divisors (see below), whose sum is σ = 59633280. Its totient is φ = 7480320.

The previous prime is 21822043. The next prime is 21822083. The reversal of 21822080 is 8022812.

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

It is not an unprimeable number, because it can be changed into a prime (21822083) 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 7 ways as a sum of consecutive naturals, for example, 2045 + ... + 6915.

It is an arithmetic number, because the mean of its divisors is an integer number (931770).

Almost surely, 2^21822080 is an apocalyptic number.

21822080 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 21822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29816640).

21822080 is an abundant number, since it is smaller than the sum of its proper divisors (37811200).

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

21822080 is an equidigital number, since it uses as much as digits as its factorization.

21822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 21822080 is about 4671.4109217666. The cubic root of 21822080 is about 279.4465257193.

Adding to 21822080 its reverse (8022812), we get a palindrome (29844892).

The spelling of 21822080 in words is "twenty-one million, eight hundred twenty-two thousand, eighty".