806949608 has 128 divisors (see below), whose sum is σ = 1762560000. Its totient is φ = 343968768.

The previous prime is 806949601. The next prime is 806949617.

806949608 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (806949601) 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 31 ways as a sum of consecutive naturals, for example, 10214513 + ... + 10214591.

It is an arithmetic number, because the mean of its divisors is an integer number (13770000).

Almost surely, 2^806949608 is an apocalyptic number.

It is an amenable number.

806949608 is an abundant number, since it is smaller than the sum of its proper divisors (955610392).

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

806949608 is a wasteful number, since it uses less digits than its factorization.

806949608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 806949608 is about 28406.8584676307. The cubic root of 806949608 is about 930.9981221237.

The spelling of 806949608 in words is "eight hundred six million, nine hundred forty-nine thousand, six hundred eight".