68688 has 50 divisors (see below), whose sum is σ = 202554. Its totient is φ = 22464.

The previous prime is 68687. The next prime is 68699. The reversal of 68688 is 88686.

68688 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 5184 = 252^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68683) 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 9 ways as a sum of consecutive naturals, for example, 1270 + ... + 1322.

2⁶⁸⁶⁸⁸ 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 68688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101277).

68688 is an abundant number, since it is smaller than the sum of its proper divisors (133866).

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

68688 is a wasteful number, since it uses less digits than its factorization.

68688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 58 counting only the distinct ones).

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

The square root of 68688 is about 262.0839560141. The cubic root of 68688 is about 40.9537451793.

The spelling of 68688 in words is "sixty-eight thousand, six hundred eighty-eight".