68680 has 32 divisors (see below), whose sum is σ = 165240. Its totient is φ = 25600.

The previous prime is 68669. The next prime is 68683. The reversal of 68680 is 8686.

It can be written as a sum of positive squares in 4 ways, for example, as 68644 + 36 = 262^2 + 6^2 .

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 7 ways as a sum of consecutive naturals, for example, 630 + ... + 730.

2⁶⁸⁶⁸⁰ 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 68680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82620).

68680 is an abundant number, since it is smaller than the sum of its proper divisors (96560).

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

68680 is a wasteful number, since it uses less digits than its factorization.

68680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 68680 is about 262.0686932848. The cubic root of 68680 is about 40.9521551749.

The spelling of 68680 in words is "sixty-eight thousand, six hundred eighty".