21193600 has 96 divisors (see below), whose sum is σ = 54070200. Its totient is φ = 8202240.

The previous prime is 21193591. The next prime is 21193609. The reversal of 21193600 is 639112.

It is an interprime number because it is at equal distance from previous prime (21193591) and next prime (21193609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21193609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118311 + ... + 118489.

Almost surely, 2^21193600 is an apocalyptic number.

21193600 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 21193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27035100).

21193600 is an abundant number, since it is smaller than the sum of its proper divisors (32876600).

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

21193600 is a wasteful number, since it uses less digits than its factorization.

21193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 21193600 is about 4603.6507252397. The cubic root of 21193600 is about 276.7376473094.

The spelling of 21193600 in words is "twenty-one million, one hundred ninety-three thousand, six hundred".