688760 has 32 divisors (see below), whose sum is σ = 1578960. Its totient is φ = 270336.

The previous prime is 688757. The next prime is 688763. The reversal of 688760 is 67886.

It is an interprime number because it is at equal distance from previous prime (688757) and next prime (688763).

It is a self number, because there is not a number n which added to its sum of digits gives 688760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2552 + ... + 2808.

2⁶⁸⁸⁷⁶⁰ 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 688760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789480).

688760 is an abundant number, since it is smaller than the sum of its proper divisors (890200).

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

688760 is a wasteful number, since it uses less digits than its factorization.

688760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 688760 is about 829.9156583654. The cubic root of 688760 is about 88.3125935249.

The spelling of 688760 in words is "six hundred eighty-eight thousand, seven hundred sixty".