965568 has 56 divisors (see below), whose sum is σ = 2633472. Its totient is φ = 312064.

The previous prime is 965567. The next prime is 965603. The reversal of 965568 is 865569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8971 + ... + 9077.

2⁹⁶⁵⁵⁶⁸ 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 965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316736).

965568 is an abundant number, since it is smaller than the sum of its proper divisors (1667904).

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

965568 is a wasteful number, since it uses less digits than its factorization.

965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 965568 is about 982.6331970781. The cubic root of 965568 is about 98.8388358311.

Subtracting from 965568 its reverse (865569), we obtain a palindrome (99999).

The spelling of 965568 in words is "nine hundred sixty-five thousand, five hundred sixty-eight".