968913664 has 72 divisors (see below), whose sum is σ = 2106342000. Its totient is φ = 443068416.

The previous prime is 968913653. The next prime is 968913667. The reversal of 968913664 is 466319869.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (968913667) 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 7 ways as a sum of consecutive naturals, for example, 137622 + ... + 144490.

It is an arithmetic number, because the mean of its divisors is an integer number (29254750).

Almost surely, 2^968913664 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 968913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053171000).

968913664 is an abundant number, since it is smaller than the sum of its proper divisors (1137428336).

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

968913664 is a wasteful number, since it uses less digits than its factorization.

968913664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933 (or 6919 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 52.

The square root of 968913664 is about 31127.3780457012. The cubic root of 968913664 is about 989.5286209489.

The spelling of 968913664 in words is "nine hundred sixty-eight million, nine hundred thirteen thousand, six hundred sixty-four".