968307216 has 180 divisors, whose sum is σ = 2785207152. Its totient is φ = 289773568.

The previous prime is 968307169. The next prime is 968307251. The reversal of 968307216 is 612703869.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11666311 + ... + 11666393.

Almost surely, 2^968307216 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 968307216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392603576).

968307216 is an abundant number, since it is smaller than the sum of its proper divisors (1816899936).

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

968307216 is a wasteful number, since it uses less digits than its factorization.

968307216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 968307216 is about 31117.6351286533. The cubic root of 968307216 is about 989.3221275256.

The spelling of 968307216 in words is "nine hundred sixty-eight million, three hundred seven thousand, two hundred sixteen".