21233600 has 84 divisors (see below), whose sum is σ = 54614064. Its totient is φ = 8110080.

The previous prime is 21233599. The next prime is 21233603. The reversal of 21233600 is 633212.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233603) 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, 36512 + ... + 37088.

Almost surely, 2^21233600 is an apocalyptic number.

21233600 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 21233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27307032).

21233600 is an abundant number, since it is smaller than the sum of its proper divisors (33380464).

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

21233600 is a wasteful number, since it uses less digits than its factorization.

21233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 21233600 is about 4607.9930555503. The cubic root of 21233600 is about 276.9116392870.

Adding to 21233600 its reverse (633212), we get a palindrome (21866812).

The spelling of 21233600 in words is "twenty-one million, two hundred thirty-three thousand, six hundred".