688880 has 40 divisors (see below), whose sum is σ = 1636800. Its totient is φ = 269568.

The previous prime is 688871. The next prime is 688889. The reversal of 688880 is 88886.

It is an interprime number because it is at equal distance from previous prime (688871) and next prime (688889).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688880.

It is not an unprimeable number, because it can be changed into a prime (688889) by changing a digit.

688880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6266 + ... + 6374.

It is an arithmetic number, because the mean of its divisors is an integer number (40920).

2⁶⁸⁸⁸⁸⁰ 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 688880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818400).

688880 is an abundant number, since it is smaller than the sum of its proper divisors (947920).

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

688880 is a wasteful number, since it uses less digits than its factorization.

688880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 688880 is about 829.9879517198. The cubic root of 688880 is about 88.3177220147.

The spelling of 688880 in words is "six hundred eighty-eight thousand, eight hundred eighty".