65968 has 40 divisors (see below), whose sum is σ = 158720. Its totient is φ = 25920.

The previous prime is 65963. The next prime is 65981. The reversal of 65968 is 86956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2113 + ... + 2143.

It is an arithmetic number, because the mean of its divisors is an integer number (3968).

2⁶⁵⁹⁶⁸ 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 65968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79360).

65968 is an abundant number, since it is smaller than the sum of its proper divisors (92752).

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

65968 is a wasteful number, since it uses less digits than its factorization.

65968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 65968 is about 256.8423641069. The cubic root of 65968 is about 40.4058678534.

It can be divided in two parts, 659 and 68, that added together give a palindrome (727).

The spelling of 65968 in words is "sixty-five thousand, nine hundred sixty-eight".