21468600 has 72 divisors (see below), whose sum is σ = 72104760. Its totient is φ = 5724480.

The previous prime is 21468593. The next prime is 21468607. The reversal of 21468600 is 686412.

It is an interprime number because it is at equal distance from previous prime (21468593) and next prime (21468607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21468607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4164 + ... + 7763.

It is an arithmetic number, because the mean of its divisors is an integer number (1001455).

Almost surely, 2^21468600 is an apocalyptic number.

21468600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21468600 is an abundant number, since it is smaller than the sum of its proper divisors (50636160).

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

21468600 is a wasteful number, since it uses less digits than its factorization.

21468600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11949 (or 11937 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 21468600 is about 4633.4220615005. The cubic root of 21468600 is about 277.9294543493.

The spelling of 21468600 in words is "twenty-one million, four hundred sixty-eight thousand, six hundred".