965768048 has 120 divisors (see below), whose sum is σ = 2279854080. Its totient is φ = 394692480.

The previous prime is 965768009. The next prime is 965768059. The reversal of 965768048 is 840867569.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1919765 + ... + 1920267.

It is an arithmetic number, because the mean of its divisors is an integer number (18998784).

Almost surely, 2^965768048 is an apocalyptic number.

965768048 is a gapful number since it is divisible by the number (98) 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 965768048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

965768048 is an abundant number, since it is smaller than the sum of its proper divisors (1314086032).

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

965768048 is a wasteful number, since it uses less digits than its factorization.

965768048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The square root of 965768048 is about 31076.8088451823. The cubic root of 965768048 is about 988.4566122506.

The spelling of 965768048 in words is "nine hundred sixty-five million, seven hundred sixty-eight thousand, forty-eight".