968086080 has 560 divisors, whose sum is σ = 3949933680. Its totient is φ = 224280576.

The previous prime is 968086079. The next prime is 968086103. The reversal of 968086080 is 80680869.

It can be written as a sum of positive squares in 8 ways, for example, as 595750464 + 372335616 = 24408^2 + 19296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1326 × 1170 × 624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56946232 + ... + 56946248.

It is an arithmetic number, because the mean of its divisors is an integer number (7053453).

Almost surely, 2^968086080 is an apocalyptic number.

968086080 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 968086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974966840).

968086080 is an abundant number, since it is smaller than the sum of its proper divisors (2981847600).

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

968086080 is a wasteful number, since it uses less digits than its factorization.

968086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 968086080 is about 31114.0816994492. The cubic root of 968086080 is about 989.2468100401.

The spelling of 968086080 in words is "nine hundred sixty-eight million, eighty-six thousand, eighty".