965342416 has 40 divisors (see below), whose sum is σ = 2002673160. Its totient is φ = 449163264.

The previous prime is 965342383. The next prime is 965342419. The reversal of 965342416 is 614243569.

965342416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30206016 + 935136400 = 5496^2 + 30580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965342419) 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, 4270 + ... + 44146.

It is an arithmetic number, because the mean of its divisors is an integer number (50066829).

Almost surely, 2^965342416 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 965342416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001336580).

965342416 is an abundant number, since it is smaller than the sum of its proper divisors (1037330744).

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

965342416 is a wasteful number, since it uses less digits than its factorization.

965342416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39991 (or 39985 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 965342416 is about 31069.9600257226. The cubic root of 965342416 is about 988.3113804886.

The spelling of 965342416 in words is "nine hundred sixty-five million, three hundred forty-two thousand, four hundred sixteen".