21814560 has 72 divisors (see below), whose sum is σ = 74447100. Its totient is φ = 5816832.

The previous prime is 21814547. The next prime is 21814589. The reversal of 21814560 is 6541812.

21814560 is a `hidden beast` number, since 21 + 81 + 4 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21790224 + 24336 = 4668^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6135 + ... + 9014.

Almost surely, 2^21814560 is an apocalyptic number.

21814560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21814560 is an abundant number, since it is smaller than the sum of its proper divisors (52632540).

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

21814560 is a wasteful number, since it uses less digits than its factorization.

21814560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15170 (or 15159 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 21814560 is about 4670.6059564044. The cubic root of 21814560 is about 279.4144224656.

The spelling of 21814560 in words is "twenty-one million, eight hundred fourteen thousand, five hundred sixty".