688020 has 24 divisors (see below), whose sum is σ = 1926624. Its totient is φ = 183456.

The previous prime is 688013. The next prime is 688027. The reversal of 688020 is 20886.

It is an interprime number because it is at equal distance from previous prime (688013) and next prime (688027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688027) 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, 5674 + ... + 5793.

It is an arithmetic number, because the mean of its divisors is an integer number (80276).

2⁶⁸⁸⁰²⁰ is an apocalyptic number.

688020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688020 is an abundant number, since it is smaller than the sum of its proper divisors (1238604).

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

688020 is a wasteful number, since it uses less digits than its factorization.

688020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11479 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 688020 is about 829.4697101160. The cubic root of 688020 is about 88.2809546679.

The spelling of 688020 in words is "six hundred eighty-eight thousand, twenty".