968788667 has 32 divisors (see below), whose sum is σ = 1248597504. Its totient is φ = 729792000.

The previous prime is 968788627. The next prime is 968788679. The reversal of 968788667 is 766887869.

It is not a de Polignac number, because 968788667 - 2¹⁴ = 968772283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (968788607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332963 + ... + 335859.

It is an arithmetic number, because the mean of its divisors is an integer number (39018672).

Almost surely, 2^968788667 is an apocalyptic number.

968788667 is a deficient number, since it is larger than the sum of its proper divisors (279808837).

968788667 is a wasteful number, since it uses less digits than its factorization.

968788667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059.

The product of its digits is 48771072, while the sum is 65.

The square root of 968788667 is about 31125.3701504095. The cubic root of 968788667 is about 989.4860669585.

The spelling of 968788667 in words is "nine hundred sixty-eight million, seven hundred eighty-eight thousand, six hundred sixty-seven".