688576 has 56 divisors (see below), whose sum is σ = 1645920. Its totient is φ = 279552.

The previous prime is 688573. The next prime is 688591. The reversal of 688576 is 675886.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688573) 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, 12966 + ... + 13018.

2⁶⁸⁸⁵⁷⁶ 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 688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960).

688576 is an abundant number, since it is smaller than the sum of its proper divisors (957344).

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

688576 is a wasteful number, since it uses less digits than its factorization.

688576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 688576 is about 829.8047963226. The cubic root of 688576 is about 88.3047286836.

The spelling of 688576 in words is "six hundred eighty-eight thousand, five hundred seventy-six".