965743616 has 88 divisors (see below), whose sum is σ = 2115697320. Its totient is φ = 438566912.

The previous prime is 965743613. The next prime is 965743621. The reversal of 965743616 is 616347569.

It can be written as a sum of positive squares in 4 ways, for example, as 459673600 + 506070016 = 21440^2 + 22496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965743613) 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, 503876 + ... + 505788.

It is an arithmetic number, because the mean of its divisors is an integer number (24042015).

Almost surely, 2^965743616 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 965743616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057848660).

965743616 is an abundant number, since it is smaller than the sum of its proper divisors (1149953704).

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

965743616 is a wasteful number, since it uses less digits than its factorization.

965743616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1961 counting only the distinct ones).

The product of its digits is 816480, while the sum is 47.

The square root of 965743616 is about 31076.4157521423. The cubic root of 965743616 is about 988.4482768553.

The spelling of 965743616 in words is "nine hundred sixty-five million, seven hundred forty-three thousand, six hundred sixteen".