6980736 has 128 divisors (see below), whose sum is σ = 22032000. Its totient is φ = 1956864.

The previous prime is 6980731. The next prime is 6980737. The reversal of 6980736 is 6370896.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6980694 and 6980703.

It is not an unprimeable number, because it can be changed into a prime (6980731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131686 + ... + 131738.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 2^6980736 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 6980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016000).

6980736 is an abundant number, since it is smaller than the sum of its proper divisors (15051264).

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

6980736 is an equidigital number, since it uses as much as digits as its factorization.

6980736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6980736 is about 2642.1082491071. The cubic root of 6980736 is about 191.1174775036.

The spelling of 6980736 in words is "six million, nine hundred eighty thousand, seven hundred thirty-six".