968578560 has 320 divisors, whose sum is σ = 3503079360. Its totient is φ = 256794624.

The previous prime is 968578529. The next prime is 968578577. The reversal of 968578560 is 65875869.

968578560 is a `hidden beast` number, since 9 + 6 + 8 + 5 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 968578497 and 968578506.

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, 5598634 + ... + 5598806.

It is an arithmetic number, because the mean of its divisors is an integer number (10947123).

Almost surely, 2^968578560 is an apocalyptic number.

968578560 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 968578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751539680).

968578560 is an abundant number, since it is smaller than the sum of its proper divisors (2534500800).

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

968578560 is an frugal number, since it uses more digits than its factorization.

968578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 968578560 is about 31121.9947946786. The cubic root of 968578560 is about 989.4145298637.

The spelling of 968578560 in words is "nine hundred sixty-eight million, five hundred seventy-eight thousand, five hundred sixty".