6856500 has 96 divisors (see below), whose sum is σ = 22853376. Its totient is φ = 1564800.

The previous prime is 6856483. The next prime is 6856517. The reversal of 6856500 is 56586.

6856500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6856483) and next prime (6856517).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10174 + ... + 10826.

It is an arithmetic number, because the mean of its divisors is an integer number (238056).

Almost surely, 2^6856500 is an apocalyptic number.

6856500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6856500 is the 1400-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6856500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11426688).

6856500 is an abundant number, since it is smaller than the sum of its proper divisors (15996876).

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

6856500 is a wasteful number, since it uses less digits than its factorization.

6856500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 6856500 is about 2618.4919323916. The cubic root of 6856500 is about 189.9769131690.

The spelling of 6856500 in words is "six million, eight hundred fifty-six thousand, five hundred".