21198600 has 72 divisors (see below), whose sum is σ = 71198010. Its totient is φ = 5652480.

The previous prime is 21198559. The next prime is 21198631. The reversal of 21198600 is 689112.

It can be written as a sum of positive squares in 3 ways, for example, as 17489124 + 3709476 = 4182^2 + 1926^2 .

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 17 ways as a sum of consecutive naturals, for example, 4089 + ... + 7688.

Almost surely, 2^21198600 is an apocalyptic number.

21198600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21198600 is an abundant number, since it is smaller than the sum of its proper divisors (49999410).

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

21198600 is a wasteful number, since it uses less digits than its factorization.

21198600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11799 (or 11787 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 21198600 is about 4604.1937404936. The cubic root of 21198600 is about 276.7594082724.

The spelling of 21198600 in words is "twenty-one million, one hundred ninety-eight thousand, six hundred".