68886 has 24 divisors (see below), whose sum is σ = 154440. Its totient is φ = 22176.

The previous prime is 68881. The next prime is 68891.

68886 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (68881) and next prime (68891).

It is a self number, because there is not a number n which added to its sum of digits gives 68886.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68886.

It is not an unprimeable number, because it can be changed into a prime (68881) by changing a digit.

68886 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (6435).

2⁶⁸⁸⁸⁶ is an apocalyptic number.

68886 is an abundant number, since it is smaller than the sum of its proper divisors (85554).

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 (77220).

68886 is a wasteful number, since it uses less digits than its factorization.

68886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 137 counting only the distinct ones).

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

The square root of 68886 is about 262.4614257372. The cubic root of 68886 is about 40.9930585115.

It can be divided in two parts, 6888 and 6, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 68886 in words is "sixty-eight thousand, eight hundred eighty-six".