6560800 has 72 divisors (see below), whose sum is σ = 16405200. Its totient is φ = 2561280.

The previous prime is 6560797. The next prime is 6560821. The reversal of 6560800 is 80656.

6560800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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, 47131 + ... + 47269.

It is an arithmetic number, because the mean of its divisors is an integer number (227850).

Almost surely, 2^6560800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202600).

6560800 is an abundant number, since it is smaller than the sum of its proper divisors (9844400).

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

6560800 is a wasteful number, since it uses less digits than its factorization.

6560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 6560800 is about 2561.4058639739. The cubic root of 6560800 is about 187.2056418296.

The spelling of 6560800 in words is "six million, five hundred sixty thousand, eight hundred".