6828960 has 96 divisors (see below), whose sum is σ = 22099392. Its totient is φ = 1771520.

The previous prime is 6828937. The next prime is 6828971. The reversal of 6828960 is 698286.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19507 + ... + 19853.

It is an arithmetic number, because the mean of its divisors is an integer number (230202).

Almost surely, 2^6828960 is an apocalyptic number.

6828960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11049696).

6828960 is an abundant number, since it is smaller than the sum of its proper divisors (15270432).

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

6828960 is a wasteful number, since it uses less digits than its factorization.

6828960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 6828960 is about 2613.2278890292. The cubic root of 6828960 is about 189.7222164184.

The spelling of 6828960 in words is "six million, eight hundred twenty-eight thousand, nine hundred sixty".