968307589080 has 1280 divisors, whose sum is σ = 3976351948800. Its totient is φ = 208899440640.

The previous prime is 968307589079. The next prime is 968307589087. The reversal of 968307589080 is 80985703869.

It is a junction number, because it is equal to n+sod(n) for n = 968307588999 and 968307589017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968307589087) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 570598792 + ... + 570600488.

It is an arithmetic number, because the mean of its divisors is an integer number (3106524960).

Almost surely, 2^968307589080 is an apocalyptic number.

968307589080 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 968307589080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988175974400).

968307589080 is an abundant number, since it is smaller than the sum of its proper divisors (3008044359720).

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

968307589080 is a wasteful number, since it uses less digits than its factorization.

968307589080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 968307589080 in words is "nine hundred sixty-eight billion, three hundred seven million, five hundred eighty-nine thousand, eighty".