5668800 has 84 divisors (see below), whose sum is σ = 18614136. Its totient is φ = 1510400.

The previous prime is 5668771. The next prime is 5668801. The reversal of 5668800 is 88665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5668801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4210 + ... + 5390.

Almost surely, 2^5668800 is an apocalyptic number.

5668800 is a gapful number since it is divisible by the number (50) 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 5668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307068).

5668800 is an abundant number, since it is smaller than the sum of its proper divisors (12945336).

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

5668800 is a wasteful number, since it uses less digits than its factorization.

5668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 5668800 is about 2380.9241903093. The cubic root of 5668800 is about 178.3050779663.

The spelling of 5668800 in words is "five million, six hundred sixty-eight thousand, eight hundred".