6825760 has 48 divisors (see below), whose sum is σ = 16576056. Its totient is φ = 2654208.

The previous prime is 6825757. The next prime is 6825761. The reversal of 6825760 is 675286.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 44944 = 2604^2 + 212^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6825761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5344 + ... + 6496.

Almost surely, 2^6825760 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 6825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288028).

6825760 is an abundant number, since it is smaller than the sum of its proper divisors (9750296).

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

6825760 is a wasteful number, since it uses less digits than its factorization.

6825760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 6825760 is about 2612.6155476840. The cubic root of 6825760 is about 189.6925776473.

The spelling of 6825760 in words is "six million, eight hundred twenty-five thousand, seven hundred sixty".