21830760 has 96 divisors (see below), whose sum is σ = 81095040. Its totient is φ = 4989312.

The previous prime is 21830759. The next prime is 21830761. The reversal of 21830760 is 6703812.

It is an interprime number because it is at equal distance from previous prime (21830759) and next prime (21830761).

It is not an unprimeable number, because it can be changed into a prime (21830761) 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 23 ways as a sum of consecutive naturals, for example, 1812 + ... + 6851.

It is an arithmetic number, because the mean of its divisors is an integer number (844740).

Almost surely, 2^21830760 is an apocalyptic number.

21830760 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 21830760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40547520).

21830760 is an abundant number, since it is smaller than the sum of its proper divisors (59264280).

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

21830760 is a wasteful number, since it uses less digits than its factorization.

21830760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 21830760 is about 4672.3398848971. The cubic root of 21830760 is about 279.4835719023.

The spelling of 21830760 in words is "twenty-one million, eight hundred thirty thousand, seven hundred sixty".