6806580 has 48 divisors (see below), whose sum is σ = 20793024. Its totient is φ = 1649920.

The previous prime is 6806573. The next prime is 6806603. The reversal of 6806580 is 856086.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4497 + ... + 5816.

It is an arithmetic number, because the mean of its divisors is an integer number (433188).

Almost surely, 2^6806580 is an apocalyptic number.

6806580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6806580 is an abundant number, since it is smaller than the sum of its proper divisors (13986444).

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

6806580 is a wasteful number, since it uses less digits than its factorization.

6806580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 6806580 is about 2608.9423144255. The cubic root of 6806580 is about 189.5147358257.

It can be divided in two parts, 680 and 6580, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 6806580 in words is "six million, eight hundred six thousand, five hundred eighty".