6705680 has 40 divisors (see below), whose sum is σ = 15754200. Its totient is φ = 2654208.

The previous prime is 6705661. The next prime is 6705697. The reversal of 6705680 is 865076.

It can be written as a sum of positive squares in 4 ways, for example, as 868624 + 5837056 = 932^2 + 2416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×6705680² = 89932288524800, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8336 + ... + 9104.

It is an arithmetic number, because the mean of its divisors is an integer number (393855).

Almost surely, 2^6705680 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 6705680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877100).

6705680 is an abundant number, since it is smaller than the sum of its proper divisors (9048520).

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

6705680 is a wasteful number, since it uses less digits than its factorization.

6705680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 6705680 is about 2589.5327763904. The cubic root of 6705680 is about 188.5736214708.

The spelling of 6705680 in words is "six million, seven hundred five thousand, six hundred eighty".