968125080 has 128 divisors (see below), whose sum is σ = 3146169600. Its totient is φ = 236908032.

The previous prime is 968125079. The next prime is 968125111. The reversal of 968125080 is 80521869.

968125080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277507 + ... + 280973.

It is an arithmetic number, because the mean of its divisors is an integer number (24579450).

Almost surely, 2^968125080 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 968125080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573084800).

968125080 is an abundant number, since it is smaller than the sum of its proper divisors (2178044520).

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

968125080 is a wasteful number, since it uses less digits than its factorization.

968125080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 968125080 is about 31114.7084190098. The cubic root of 968125080 is about 989.2600940198.

The spelling of 968125080 in words is "nine hundred sixty-eight million, one hundred twenty-five thousand, eighty".