65868 has 24 divisors (see below), whose sum is σ = 168000. Its totient is φ = 19920.

The previous prime is 65867. The next prime is 65881. The reversal of 65868 is 86856.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65868.

It is not an unprimeable number, because it can be changed into a prime (65867) 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, 118 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (7000).

2⁶⁵⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

65868 is an abundant number, since it is smaller than the sum of its proper divisors (102132).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84000).

65868 is a wasteful number, since it uses less digits than its factorization.

65868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 65868 is about 256.6476183408. The cubic root of 65868 is about 40.3854406250.

It can be divided in two parts, 658 and 68, that multiplied together give a palindrome (44744).

The spelling of 65868 in words is "sixty-five thousand, eight hundred sixty-eight".