68868 has 18 divisors (see below), whose sum is σ = 174174. Its totient is φ = 22944.

The previous prime is 68863. The next prime is 68879. The reversal of 68868 is 86886.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 2304 = 258^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1913 = 68868 / (6 + 8 + 8 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (68863) by changing a digit.

68868 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 in 5 ways as a sum of consecutive naturals, for example, 921 + ... + 992.

2⁶⁸⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

68868 is an abundant number, since it is smaller than the sum of its proper divisors (105306).

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

68868 is a wasteful number, since it uses less digits than its factorization.

68868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1918 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 68868 is about 262.4271327435. The cubic root of 68868 is about 40.9894876876.

The spelling of 68868 in words is "sixty-eight thousand, eight hundred sixty-eight".