6980680 has 64 divisors (see below), whose sum is σ = 18195840. Its totient is φ = 2360832.

The previous prime is 6980669. The next prime is 6980681. The reversal of 6980680 is 860896.

6980680 = 34³ + 35³ + ... + 73³.

6980680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (6980681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29844 + ... + 30076.

It is an arithmetic number, because the mean of its divisors is an integer number (284310).

Almost surely, 2^6980680 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 6980680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097920).

6980680 is an abundant number, since it is smaller than the sum of its proper divisors (11215160).

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

6980680 is a wasteful number, since it uses less digits than its factorization.

6980680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 6980680 is about 2642.0976514883. The cubic root of 6980680 is about 191.1169664492.

The spelling of 6980680 in words is "six million, nine hundred eighty thousand, six hundred eighty".