6800960 has 56 divisors (see below), whose sum is σ = 16541496. Its totient is φ = 2662400.

The previous prime is 6800929. The next prime is 6800999. The reversal of 6800960 is 690086.

It can be written as a sum of positive squares in 4 ways, for example, as 3356224 + 3444736 = 1832^2 + 1856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16760 + ... + 17160.

Almost surely, 2^6800960 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 6800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270748).

6800960 is an abundant number, since it is smaller than the sum of its proper divisors (9740536).

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

6800960 is a wasteful number, since it uses less digits than its factorization.

6800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 6800960 is about 2607.8650271822. The cubic root of 6800960 is about 189.4625624834.

The spelling of 6800960 in words is "six million, eight hundred thousand, nine hundred sixty".