688068 has 48 divisors (see below), whose sum is σ = 1868160. Its totient is φ = 218592.

The previous prime is 688067. The next prime is 688073. The reversal of 688068 is 860886.

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

It is not an unprimeable number, because it can be changed into a prime (688063) 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, 2346 + ... + 2622.

It is an arithmetic number, because the mean of its divisors is an integer number (38920).

2⁶⁸⁸⁰⁶⁸ 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 688068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934080).

688068 is an abundant number, since it is smaller than the sum of its proper divisors (1180092).

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

688068 is a wasteful number, since it uses less digits than its factorization.

688068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

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

The square root of 688068 is about 829.4986437602. The cubic root of 688068 is about 88.2830076059.

The spelling of 688068 in words is "six hundred eighty-eight thousand, sixty-eight".