65935968 has 144 divisors (see below), whose sum is σ = 204773184. Its totient is φ = 18520320.

The previous prime is 65935967. The next prime is 65935993. The reversal of 65935968 is 86953956.

65935968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 65935968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65935967) 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, 503263 + ... + 503393.

It is an arithmetic number, because the mean of its divisors is an integer number (1422036).

Almost surely, 2^65935968 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 65935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102386592).

65935968 is an abundant number, since it is smaller than the sum of its proper divisors (138837216).

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

65935968 is a wasteful number, since it uses less digits than its factorization.

65935968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 51.

The square root of 65935968 is about 8120.0965511501. The cubic root of 65935968 is about 403.9932685216.

It can be divided in two parts, 6593 and 5968, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 65935968 in words is "sixty-five million, nine hundred thirty-five thousand, nine hundred sixty-eight".