21295200 has 144 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 5368320.

The previous prime is 21295187. The next prime is 21295201. The reversal of 21295200 is 259212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21295201) 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, 45367 + ... + 45833.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^21295200 is an apocalyptic number.

21295200 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 21295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

21295200 is an abundant number, since it is smaller than the sum of its proper divisors (51825120).

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

21295200 is a wasteful number, since it uses less digits than its factorization.

21295200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 21295200 is about 4614.6722527174. The cubic root of 21295200 is about 277.1791600765.

The spelling of 21295200 in words is "twenty-one million, two hundred ninety-five thousand, two hundred".