21348600 has 384 divisors, whose sum is σ = 89994240. Its totient is φ = 4055040.

The previous prime is 21348589. The next prime is 21348601. The reversal of 21348600 is 684312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21348601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 928189 + ... + 928211.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^21348600 is an apocalyptic number.

21348600 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 21348600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

21348600 is an abundant number, since it is smaller than the sum of its proper divisors (68645640).

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

21348600 is a wasteful number, since it uses less digits than its factorization.

21348600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21348600 is about 4620.4545230962. The cubic root of 21348600 is about 277.4106521866.

The spelling of 21348600 in words is "twenty-one million, three hundred forty-eight thousand, six hundred".