806728961 has 16 divisors (see below), whose sum is σ = 868147200. Its totient is φ = 747394128.

The previous prime is 806728939. The next prime is 806728963. The reversal of 806728961 is 169827608.

It is a cyclic number.

It is not a de Polignac number, because 806728961 - 2¹⁰ = 806727937 is a prime.

It is a super-2 number, since 2×806728961² = 1301623233032279042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (806728963) 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 15 ways as a sum of consecutive naturals, for example, 158096 + ... + 163118.

It is an arithmetic number, because the mean of its divisors is an integer number (54259200).

Almost surely, 2^806728961 is an apocalyptic number.

It is an amenable number.

806728961 is a deficient number, since it is larger than the sum of its proper divisors (61418239).

806728961 is a wasteful number, since it uses less digits than its factorization.

806728961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228.

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 806728961 is about 28402.9745097234. The cubic root of 806728961 is about 930.9132590515.

The spelling of 806728961 in words is "eight hundred six million, seven hundred twenty-eight thousand, nine hundred sixty-one".