8006984 has 16 divisors (see below), whose sum is σ = 15079020. Its totient is φ = 3985920.

The previous prime is 8006941. The next prime is 8006989. The reversal of 8006984 is 4896008.

It can be written as a sum of positive squares in 2 ways, for example, as 7672900 + 334084 = 2770^2 + 578^2 .

It is a super-2 number, since 2×8006984² = 128223585552512, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 149 + ... + 4004.

Almost surely, 2^8006984 is an apocalyptic number.

It is an amenable number.

8006984 is a deficient number, since it is larger than the sum of its proper divisors (7072036).

8006984 is a wasteful number, since it uses less digits than its factorization.

8006984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 8006984 is about 2829.6614638504. The cubic root of 8006984 is about 200.0581830720.

The spelling of 8006984 in words is "eight million, six thousand, nine hundred eighty-four".