688925 has 12 divisors (see below), whose sum is σ = 905076. Its totient is φ = 518400.

The previous prime is 688907. The next prime is 688939. The reversal of 688925 is 529886.

It can be written as a sum of positive squares in 6 ways, for example, as 14884 + 674041 = 122^2 + 821^2 .

It is not a de Polignac number, because 688925 - 2⁶ = 688861 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (75423).

2⁶⁸⁸⁹²⁵ is an apocalyptic number.

It is an amenable number.

688925 is a deficient number, since it is larger than the sum of its proper divisors (216151).

688925 is a wasteful number, since it uses less digits than its factorization.

688925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1643 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 688925 is about 830.0150601043. The cubic root of 688925 is about 88.3196450448.

It can be divided in two parts, 6889 and 25, that multiplied together give a square (172225 = 415²).

The spelling of 688925 in words is "six hundred eighty-eight thousand, nine hundred twenty-five".