968416560 has 400 divisors, whose sum is σ = 3645972000. Its totient is φ = 237330432.

The previous prime is 968416549. The next prime is 968416573. The reversal of 968416560 is 65614869.

968416560 is a `hidden beast` number, since 9 + 6 + 84 + 1 + 6 + 560 = 666.

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

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, 6499366 + ... + 6499514.

It is an arithmetic number, because the mean of its divisors is an integer number (9114930).

Almost surely, 2^968416560 is an apocalyptic number.

968416560 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 968416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822986000).

968416560 is an abundant number, since it is smaller than the sum of its proper divisors (2677555440).

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

968416560 is a wasteful number, since it uses less digits than its factorization.

968416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 968416560 is about 31119.3920249095. The cubic root of 968416560 is about 989.3593651451.

It can be divided in two parts, 9684 and 16560, that added together give a square (26244 = 162²).

The spelling of 968416560 in words is "nine hundred sixty-eight million, four hundred sixteen thousand, five hundred sixty".