82068 has 24 divisors (see below), whose sum is σ = 219072. Its totient is φ = 23424.

The previous prime is 82067. The next prime is 82073. The reversal of 82068 is 86028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82067) 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, 405 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (9128).

2⁸²⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

82068 is an abundant number, since it is smaller than the sum of its proper divisors (137004).

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 (109536).

82068 is a wasteful number, since it uses less digits than its factorization.

82068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 82068 is about 286.4751298106. The cubic root of 82068 is about 43.4568206754.

It can be divided in two parts, 820 and 68, that added together give a palindrome (888).

The spelling of 82068 in words is "eighty-two thousand, sixty-eight".