21168800 has 72 divisors (see below), whose sum is σ = 52871616. Its totient is φ = 8272640.

The previous prime is 21168767. The next prime is 21168803. The reversal of 21168800 is 886112.

It is a self number, because there is not a number n which added to its sum of digits gives 21168800.

It is not an unprimeable number, because it can be changed into a prime (21168803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37319 + ... + 37881.

It is an arithmetic number, because the mean of its divisors is an integer number (734328).

Almost surely, 2^21168800 is an apocalyptic number.

21168800 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 21168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26435808).

21168800 is an abundant number, since it is smaller than the sum of its proper divisors (31702816).

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

21168800 is a wasteful number, since it uses less digits than its factorization.

21168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 21168800 is about 4600.9564223105. The cubic root of 21168800 is about 276.6296623143.

The spelling of 21168800 in words is "twenty-one million, one hundred sixty-eight thousand, eight hundred".