6856960 has 72 divisors (see below), whose sum is σ = 17954496. Its totient is φ = 2488320.

The previous prime is 6856937. The next prime is 6856973. The reversal of 6856960 is 696586.

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

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, 13837 + ... + 14323.

It is an arithmetic number, because the mean of its divisors is an integer number (249368).

Almost surely, 2^6856960 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 6856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8977248).

6856960 is an abundant number, since it is smaller than the sum of its proper divisors (11097536).

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

6856960 is a wasteful number, since it uses less digits than its factorization.

6856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 6856960 is about 2618.5797677367. The cubic root of 6856960 is about 189.9811615671.

The spelling of 6856960 in words is "six million, eight hundred fifty-six thousand, nine hundred sixty".