968757560 has 64 divisors (see below), whose sum is σ = 2301955200. Its totient is φ = 365904000.

The previous prime is 968757511. The next prime is 968757571. The reversal of 968757560 is 65757869.

It is a happy number.

968757560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249635 + ... + 253485.

It is an arithmetic number, because the mean of its divisors is an integer number (35968050).

Almost surely, 2^968757560 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 968757560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150977600).

968757560 is an abundant number, since it is smaller than the sum of its proper divisors (1333197640).

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

968757560 is a wasteful number, since it uses less digits than its factorization.

968757560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 53.

The square root of 968757560 is about 31124.8704414974. The cubic root of 968757560 is about 989.4754763197.

The spelling of 968757560 in words is "nine hundred sixty-eight million, seven hundred fifty-seven thousand, five hundred sixty".