6828560 has 40 divisors (see below), whose sum is σ = 16813656. Its totient is φ = 2570240.

The previous prime is 6828557. The next prime is 6828599. The reversal of 6828560 is 658286.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 3952144 = 1696^2 + 1988^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 6828560.

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 7 ways as a sum of consecutive naturals, for example, 1151 + ... + 3870.

Almost surely, 2^6828560 is an apocalyptic number.

It is an amenable number.

6828560 is an abundant number, since it is smaller than the sum of its proper divisors (9985096).

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

6828560 is a wasteful number, since it uses less digits than its factorization.

6828560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 6828560 is about 2613.1513542082. The cubic root of 6828560 is about 189.7185120785.

The spelling of 6828560 in words is "six million, eight hundred twenty-eight thousand, five hundred sixty".