6828880 has 20 divisors (see below), whose sum is σ = 15877332. Its totient is φ = 2731520.

The previous prime is 6828869. The next prime is 6828893. The reversal of 6828880 is 888286.

It can be written as a sum of positive squares in 2 ways, for example, as 3717184 + 3111696 = 1928^2 + 1764^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42601 + ... + 42760.

Almost surely, 2^6828880 is an apocalyptic number.

It is an amenable number.

6828880 is an abundant number, since it is smaller than the sum of its proper divisors (9048452).

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

6828880 is a wasteful number, since it uses less digits than its factorization.

6828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85374 (or 85368 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 6828880 is about 2613.2125822443. The cubic root of 6828880 is about 189.7214755620.

The spelling of 6828880 in words is "six million, eight hundred twenty-eight thousand, eight hundred eighty".