814208066 has 32 divisors (see below), whose sum is σ = 1416804480. Its totient is φ = 343728000.

The previous prime is 814208041. The next prime is 814208071. The reversal of 814208066 is 660802418.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296990 + ... + 299718.

It is an arithmetic number, because the mean of its divisors is an integer number (44275140).

Almost surely, 2^814208066 is an apocalyptic number.

814208066 is a deficient number, since it is larger than the sum of its proper divisors (602596414).

814208066 is a wasteful number, since it uses less digits than its factorization.

814208066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050.

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 814208066 is about 28534.3313571564. The cubic root of 814208066 is about 933.7812161889.

The spelling of 814208066 in words is "eight hundred fourteen million, two hundred eight thousand, sixty-six".