968825760 has 192 divisors, whose sum is σ = 3582496512. Its totient is φ = 215433216.

The previous prime is 968825747. The next prime is 968825771. The reversal of 968825760 is 67528869.

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, 120424 + ... + 128216.

It is an arithmetic number, because the mean of its divisors is an integer number (18658836).

Almost surely, 2^968825760 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 968825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791248256).

968825760 is an abundant number, since it is smaller than the sum of its proper divisors (2613670752).

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

968825760 is a wasteful number, since it uses less digits than its factorization.

968825760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 968825760 is about 31125.9660091056. The cubic root of 968825760 is about 989.4986952848.

The spelling of 968825760 in words is "nine hundred sixty-eight million, eight hundred twenty-five thousand, seven hundred sixty".