68067 has 8 divisors (see below), whose sum is σ = 100880. Its totient is φ = 45360.

The previous prime is 68059. The next prime is 68071. The reversal of 68067 is 76086.

It is not a de Polignac number, because 68067 - 2³ = 68059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2521 = 68067 / (6 + 8 + 0 + 6 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 68067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1234 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (12610).

2⁶⁸⁰⁶⁷ is an apocalyptic number.

68067 is a deficient number, since it is larger than the sum of its proper divisors (32813).

68067 is a wasteful number, since it uses less digits than its factorization.

68067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 68067 is about 260.8965312150. The cubic root of 68067 is about 40.8299520547.

It can be divided in two parts, 680 and 67, that added together give a palindrome (747).

The spelling of 68067 in words is "sixty-eight thousand, sixty-seven".