968074968 has 128 divisors (see below), whose sum is σ = 2945664000. Its totient is φ = 264515328.

The previous prime is 968074951. The next prime is 968075011. The reversal of 968074968 is 869470869.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186780 + ... + 191892.

It is an arithmetic number, because the mean of its divisors is an integer number (23013000).

Almost surely, 2^968074968 is an apocalyptic number.

968074968 is a gapful number since it is divisible by the number (98) 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 968074968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472832000).

968074968 is an abundant number, since it is smaller than the sum of its proper divisors (1977589032).

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

968074968 is a wasteful number, since it uses less digits than its factorization.

968074968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The square root of 968074968 is about 31113.9031302728. The cubic root of 968074968 is about 989.2430250624.

It can be divided in two parts, 9680 and 74968, that added together give a palindrome (84648).

The spelling of 968074968 in words is "nine hundred sixty-eight million, seventy-four thousand, nine hundred sixty-eight".