688080 has 80 divisors (see below), whose sum is σ = 2214144. Its totient is φ = 176640.

The previous prime is 688073. The next prime is 688087. The reversal of 688080 is 80886.

It is an interprime number because it is at equal distance from previous prime (688073) and next prime (688087).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688087) by changing a digit.

688080 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 15 ways as a sum of consecutive naturals, for example, 11250 + ... + 11310.

2⁶⁸⁸⁰⁸⁰ is an apocalyptic number.

688080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107072).

688080 is an abundant number, since it is smaller than the sum of its proper divisors (1526064).

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

688080 is a wasteful number, since it uses less digits than its factorization.

688080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 688080 is about 829.5058770135. The cubic root of 688080 is about 88.2835208255.

The spelling of 688080 in words is "six hundred eighty-eight thousand, eighty".