6856560 has 120 divisors (see below), whose sum is σ = 23502960. Its totient is φ = 1790976.

The previous prime is 6856543. The next prime is 6856561. The reversal of 6856560 is 656586.

6856560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×6856560³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6856561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64027 + ... + 64133.

It is an arithmetic number, because the mean of its divisors is an integer number (195858).

Almost surely, 2^6856560 is an apocalyptic number.

6856560 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 6856560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751480).

6856560 is an abundant number, since it is smaller than the sum of its proper divisors (16646400).

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

6856560 is a wasteful number, since it uses less digits than its factorization.

6856560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6856560 is about 2618.5033893429. The cubic root of 6856560 is about 189.9774673187.

The spelling of 6856560 in words is "six million, eight hundred fifty-six thousand, five hundred sixty".