968598316260 has 144 divisors (see below), whose sum is σ = 3048419228400. Its totient is φ = 248645763072.

The previous prime is 968598316247. The next prime is 968598316267. The reversal of 968598316260 is 62613895869.

968598316260 is a `hidden beast` number, since 9 + 6 + 8 + 59 + 8 + 316 + 260 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37307695104 + 931290621156 = 193152^2 + 965034^2 .

It is not an unprimeable number, because it can be changed into a prime (968598316267) 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 47 ways as a sum of consecutive naturals, for example, 1483836 + ... + 2034444.

It is an arithmetic number, because the mean of its divisors is an integer number (21169577975).

Almost surely, 2^968598316260 is an apocalyptic number.

968598316260 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968598316260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524209614200).

968598316260 is an abundant number, since it is smaller than the sum of its proper divisors (2079820912140).

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

968598316260 is a wasteful number, since it uses less digits than its factorization.

968598316260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550990 (or 550985 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 968598316260 in words is "nine hundred sixty-eight billion, five hundred ninety-eight million, three hundred sixteen thousand, two hundred sixty".