68768 has 24 divisors (see below), whose sum is σ = 155232. Its totient is φ = 29376.

The previous prime is 68767. The next prime is 68771. The reversal of 68768 is 86786.

68768 is a Rhonda number in base 12.

It is not an unprimeable number, because it can be changed into a prime (68767) 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 3 ways as a sum of consecutive naturals, for example, 71 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (6468).

2⁶⁸⁷⁶⁸ 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 68768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616).

68768 is an abundant number, since it is smaller than the sum of its proper divisors (86464).

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

68768 is a wasteful number, since it uses less digits than its factorization.

68768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 68768 is about 262.2365344493. The cubic root of 68768 is about 40.9696384381.

The spelling of 68768 in words is "sixty-eight thousand, seven hundred sixty-eight".