8006966 has 32 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 3369600.

The previous prime is 8006941. The next prime is 8006989. The reversal of 8006966 is 6696008.

It is a super-2 number, since 2×8006966² = 128223009050312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29411 + ... + 29681.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 2^8006966 is an apocalyptic number.

8006966 is a deficient number, since it is larger than the sum of its proper divisors (6093514).

8006966 is a wasteful number, since it uses less digits than its factorization.

8006966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 8006966 is about 2829.6582832561. The cubic root of 8006966 is about 200.0580331591.

The spelling of 8006966 in words is "eight million, six thousand, nine hundred sixty-six".