8006814 has 24 divisors (see below), whose sum is σ = 17420832. Its totient is φ = 2657760.

The previous prime is 8006797. The next prime is 8006819. The reversal of 8006814 is 4186008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006819) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4267 + ... + 5849.

It is an arithmetic number, because the mean of its divisors is an integer number (725868).

Almost surely, 2^8006814 is an apocalyptic number.

8006814 is an abundant number, since it is smaller than the sum of its proper divisors (9414018).

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

8006814 is a wasteful number, since it uses less digits than its factorization.

8006814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8006814 is about 2829.6314247619. The cubic root of 8006814 is about 200.0567672192.

The spelling of 8006814 in words is "eight million, six thousand, eight hundred fourteen".