21325600 has 144 divisors (see below), whose sum is σ = 58121280. Its totient is φ = 7603200.

The previous prime is 21325597. The next prime is 21325607. The reversal of 21325600 is 652312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (21325607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349570 + ... + 349630.

It is an arithmetic number, because the mean of its divisors is an integer number (403620).

Almost surely, 2^21325600 is an apocalyptic number.

21325600 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 21325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060640).

21325600 is an abundant number, since it is smaller than the sum of its proper divisors (36795680).

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

21325600 is a wasteful number, since it uses less digits than its factorization.

21325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 21325600 is about 4617.9649197455. The cubic root of 21325600 is about 277.3109932284.

Adding to 21325600 its reverse (652312), we get a palindrome (21977912).

The spelling of 21325600 in words is "twenty-one million, three hundred twenty-five thousand, six hundred".