65768 has 8 divisors (see below), whose sum is σ = 123330. Its totient is φ = 32880.

The previous prime is 65761. The next prime is 65777. The reversal of 65768 is 86756.

It can be written as a sum of positive squares in only one way, i.e., 40804 + 24964 = 202^2 + 158^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (65761) by changing a digit.

65768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 4103 + ... + 4118.

2⁶⁵⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

65768 is a deficient number, since it is larger than the sum of its proper divisors (57562).

65768 is a wasteful number, since it uses less digits than its factorization.

65768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8223 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 65768 is about 256.4527246882. The cubic root of 65768 is about 40.3649927113.

The spelling of 65768 in words is "sixty-five thousand, seven hundred sixty-eight".