968395116 has 96 divisors (see below), whose sum is σ = 2590963200. Its totient is φ = 279037440.

The previous prime is 968395111. The next prime is 968395133. The reversal of 968395116 is 611593869.

968395116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (968395111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261961 + ... + 265631.

It is an arithmetic number, because the mean of its divisors is an integer number (26989200).

Almost surely, 2^968395116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968395116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295481600).

968395116 is an abundant number, since it is smaller than the sum of its proper divisors (1622568084).

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

968395116 is a wasteful number, since it uses less digits than its factorization.

968395116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3797 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 968395116 is about 31119.0474789959. The cubic root of 968395116 is about 989.3520625099.

The spelling of 968395116 in words is "nine hundred sixty-eight million, three hundred ninety-five thousand, one hundred sixteen".