68586 has 32 divisors (see below), whose sum is σ = 165888. Its totient is φ = 18480.

The previous prime is 68581. The next prime is 68597.

68586 is nontrivially palindromic in base 10.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2⁶⁸⁵⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944).

68586 is an abundant number, since it is smaller than the sum of its proper divisors (97302).

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

68586 is a wasteful number, since it uses less digits than its factorization.

68586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

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

The square root of 68586 is about 261.8892895863. The cubic root of 68586 is about 40.9334633667.

The spelling of 68586 in words is "sixty-eight thousand, five hundred eighty-six".