6856736 has 36 divisors (see below), whose sum is σ = 13934718. Its totient is φ = 3320832.

The previous prime is 6856723. The next prime is 6856757. The reversal of 6856736 is 6376586.

It can be written as a sum of positive squares in only one way, i.e., 5973136 + 883600 = 2444^2 + 940^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6856693 and 6856702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70640 + ... + 70736.

Almost surely, 2^6856736 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 6856736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967359).

6856736 is an abundant number, since it is smaller than the sum of its proper divisors (7077982).

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

6856736 is an equidigital number, since it uses as much as digits as its factorization.

6856736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 146 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 6856736 is about 2618.5369961106. The cubic root of 6856736 is about 189.9790928057.

The spelling of 6856736 in words is "six million, eight hundred fifty-six thousand, seven hundred thirty-six".