965966976 has 192 divisors, whose sum is σ = 3052478520. Its totient is φ = 291373056.

The previous prime is 965966971. The next prime is 965966977. The reversal of 965966976 is 679669569.

It can be written as a sum of positive squares in 4 ways, for example, as 695693376 + 270273600 = 26376^2 + 16440^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965966971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793120 + ... + 794336.

Almost surely, 2^965966976 is an apocalyptic number.

965966976 is a gapful number since it is divisible by the number (96) 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 965966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526239260).

965966976 is an abundant number, since it is smaller than the sum of its proper divisors (2086511544).

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

965966976 is a wasteful number, since it uses less digits than its factorization.

965966976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1288 counting only the distinct ones).

The product of its digits is 33067440, while the sum is 63.

The square root of 965966976 is about 31080.0092664079. The cubic root of 965966976 is about 988.5244747145.

The spelling of 965966976 in words is "nine hundred sixty-five million, nine hundred sixty-six thousand, nine hundred seventy-six".