6828360 has 128 divisors (see below), whose sum is σ = 25574400. Its totient is φ = 1416960.

The previous prime is 6828331. The next prime is 6828377. The reversal of 6828360 is 638286.

6828360 is a nontrivial binomial coefficient, being equal to C(3696, 2).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8871 + ... + 9609.

It is an arithmetic number, because the mean of its divisors is an integer number (199800).

Almost surely, 2^6828360 is an apocalyptic number.

6828360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6828360 is the 3695-th triangular number and also the 1848-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6828360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787200).

6828360 is an abundant number, since it is smaller than the sum of its proper divisors (18746040).

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

6828360 is a wasteful number, since it uses less digits than its factorization.

6828360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6828360 is about 2613.1130859571. The cubic root of 6828360 is about 189.7166598542.

The spelling of 6828360 in words is "six million, eight hundred twenty-eight thousand, three hundred sixty".