688125 has 20 divisors (see below), whose sum is σ = 1149632. Its totient is φ = 366000.

The previous prime is 688111. The next prime is 688133. The reversal of 688125 is 521886.

It is not a de Polignac number, because 688125 - 2¹⁰ = 687101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 688092 and 688101.

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 688125.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1692 + ... + 2058.

2⁶⁸⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

688125 is a deficient number, since it is larger than the sum of its proper divisors (461507).

688125 is an equidigital number, since it uses as much as digits as its factorization.

688125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 375 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 688125 is about 829.5330011519. The cubic root of 688125 is about 88.2854453458.

The spelling of 688125 in words is "six hundred eighty-eight thousand, one hundred twenty-five".