965841760 has 144 divisors (see below), whose sum is σ = 2579913504. Its totient is φ = 340893696.

The previous prime is 965841749. The next prime is 965841761. The reversal of 965841760 is 67148569.

965841760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 965841760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965841761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621144 + ... + 622696.

It is an arithmetic number, because the mean of its divisors is an integer number (17916066).

Almost surely, 2^965841760 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 965841760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289956752).

965841760 is an abundant number, since it is smaller than the sum of its proper divisors (1614071744).

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

965841760 is a wasteful number, since it uses less digits than its factorization.

965841760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 965841760 is about 31077.9947873089. The cubic root of 965841760 is about 988.4817595105.

The spelling of 965841760 in words is "nine hundred sixty-five million, eight hundred forty-one thousand, seven hundred sixty".