21348800 has 84 divisors (see below), whose sum is σ = 57354216. Its totient is φ = 7756800.

The previous prime is 21348781. The next prime is 21348809. The reversal of 21348800 is 884312.

It is a super-2 number, since 2×21348800² = 911542522880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21348800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21348809) 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, 16994 + ... + 18206.

Almost surely, 2^21348800 is an apocalyptic number.

21348800 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 21348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28677108).

21348800 is an abundant number, since it is smaller than the sum of its proper divisors (36005416).

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

21348800 is a wasteful number, since it uses less digits than its factorization.

21348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 21348800 is about 4620.4761659379. The cubic root of 21348800 is about 277.4115184723.

The spelling of 21348800 in words is "twenty-one million, three hundred forty-eight thousand, eight hundred".