21214600 has 48 divisors (see below), whose sum is σ = 53813520. Its totient is φ = 7713600.

The previous prime is 21214577. The next prime is 21214619. The reversal of 21214600 is 641212.

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, 2622 + ... + 7021.

It is an arithmetic number, because the mean of its divisors is an integer number (1121115).

Almost surely, 2^21214600 is an apocalyptic number.

21214600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214600 is an abundant number, since it is smaller than the sum of its proper divisors (32598920).

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

21214600 is a wasteful number, since it uses less digits than its factorization.

21214600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9670 (or 9661 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 21214600 is about 4605.9309591005. The cubic root of 21214600 is about 276.8290203683.

Adding to 21214600 its reverse (641212), we get a palindrome (21855812).

The spelling of 21214600 in words is "twenty-one million, two hundred fourteen thousand, six hundred".