8006980 has 36 divisors (see below), whose sum is σ = 17762220. Its totient is φ = 3031488.

The previous prime is 8006941. The next prime is 8006989. The reversal of 8006980 is 896008.

It can be written as a sum of positive squares in 2 ways, for example, as 1132096 + 6874884 = 1064^2 + 2622^2 .

It is a super-2 number, since 2×8006980² = 128223457440800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006989) 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 11 ways as a sum of consecutive naturals, for example, 6666 + ... + 7774.

It is an arithmetic number, because the mean of its divisors is an integer number (493395).

Almost surely, 2^8006980 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 8006980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881110).

8006980 is an abundant number, since it is smaller than the sum of its proper divisors (9755240).

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

8006980 is a wasteful number, since it uses less digits than its factorization.

8006980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 8006980 is about 2829.6607570520. The cubic root of 8006980 is about 200.0581497581.

The spelling of 8006980 in words is "eight million, six thousand, nine hundred eighty".