21297600 has 336 divisors, whose sum is σ = 85039200. Its totient is φ = 5160960.

The previous prime is 21297569. The next prime is 21297631. The reversal of 21297600 is 679212.

It is an interprime number because it is at equal distance from previous prime (21297569) and next prime (21297631).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 734386 + ... + 734414.

Almost surely, 2^21297600 is an apocalyptic number.

21297600 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 21297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42519600).

21297600 is an abundant number, since it is smaller than the sum of its proper divisors (63741600).

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

21297600 is a wasteful number, since it uses less digits than its factorization.

21297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 21297600 is about 4614.9322855271. The cubic root of 21297600 is about 277.1895725168.

The spelling of 21297600 in words is "twenty-one million, two hundred ninety-seven thousand, six hundred".