688725 has 18 divisors (see below), whose sum is σ = 1233986. Its totient is φ = 367200.

The previous prime is 688717. The next prime is 688729. The reversal of 688725 is 527886.

It can be written as a sum of positive squares in 3 ways, for example, as 178929 + 509796 = 423^2 + 714^2 .

It is not a de Polignac number, because 688725 - 2³ = 688717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 688725.

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 688725.

It is not an unprimeable number, because it can be changed into a prime (688729) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1306 + ... + 1755.

2⁶⁸⁸⁷²⁵ is an apocalyptic number.

It is an amenable number.

688725 is a deficient number, since it is larger than the sum of its proper divisors (545261).

688725 is a wasteful number, since it uses less digits than its factorization.

688725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3069 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 688725 is about 829.8945716174. The cubic root of 688725 is about 88.3110976032.

The spelling of 688725 in words is "six hundred eighty-eight thousand, seven hundred twenty-five".