968386560 has 192 divisors, whose sum is σ = 3207859200. Its totient is φ = 249102336.

The previous prime is 968386553. The next prime is 968386561. The reversal of 968386560 is 65683869.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (968386561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890337 + ... + 891423.

It is an arithmetic number, because the mean of its divisors is an integer number (16707600).

Almost surely, 2^968386560 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 968386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603929600).

968386560 is an abundant number, since it is smaller than the sum of its proper divisors (2239472640).

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

968386560 is a wasteful number, since it uses less digits than its factorization.

968386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 968386560 is about 31118.9100066182. The cubic root of 968386560 is about 989.3491487814.

The spelling of 968386560 in words is "nine hundred sixty-eight million, three hundred eighty-six thousand, five hundred sixty".