6846580 has 48 divisors (see below), whose sum is σ = 16405200. Its totient is φ = 2377728.

The previous prime is 6846577. The next prime is 6846583. The reversal of 6846580 is 856486.

It is an interprime number because it is at equal distance from previous prime (6846577) and next prime (6846583).

It can be written as a sum of positive squares in 8 ways, for example, as 272484 + 6574096 = 522^2 + 2564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6846583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3646 + ... + 5194.

It is an arithmetic number, because the mean of its divisors is an integer number (341775).

Almost surely, 2^6846580 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 6846580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202600).

6846580 is an abundant number, since it is smaller than the sum of its proper divisors (9558620).

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

6846580 is a wasteful number, since it uses less digits than its factorization.

6846580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 6846580 is about 2616.5970266741. The cubic root of 6846580 is about 189.8852492697.

The spelling of 6846580 in words is "six million, eight hundred forty-six thousand, five hundred eighty".