965982320 has 80 divisors (see below), whose sum is σ = 2337374208. Its totient is φ = 370863360.

The previous prime is 965982319. The next prime is 965982323. The reversal of 965982320 is 23289569.

965982320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965982323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313427 + ... + 316493.

Almost surely, 2^965982320 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 965982320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168687104).

965982320 is an abundant number, since it is smaller than the sum of its proper divisors (1371391888).

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

965982320 is a wasteful number, since it uses less digits than its factorization.

965982320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 965982320 is about 31080.2561122009. The cubic root of 965982320 is about 988.5297087924.

The spelling of 965982320 in words is "nine hundred sixty-five million, nine hundred eighty-two thousand, three hundred twenty".