965809216 has 56 divisors (see below), whose sum is σ = 2082556160. Its totient is φ = 442713600.

The previous prime is 965809213. The next prime is 965809223. The reversal of 965809216 is 612908569.

It is not an unprimeable number, because it can be changed into a prime (965809211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24886 + ... + 50506.

Almost surely, 2^965809216 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 965809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041278080).

965809216 is an abundant number, since it is smaller than the sum of its proper divisors (1116746944).

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

965809216 is a wasteful number, since it uses less digits than its factorization.

965809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25683 (or 25673 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The square root of 965809216 is about 31077.4711969941. The cubic root of 965809216 is about 988.4706571012.

The spelling of 965809216 in words is "nine hundred sixty-five million, eight hundred nine thousand, two hundred sixteen".