688825 has 12 divisors (see below), whose sum is σ = 870480. Its totient is φ = 540560.

The previous prime is 688813. The next prime is 688861. The reversal of 688825 is 528886.

It is not a de Polignac number, because 688825 - 2⁷ = 688697 is a prime.

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, 1242 + ... + 1708.

It is an arithmetic number, because the mean of its divisors is an integer number (72540).

2⁶⁸⁸⁸²⁵ is an apocalyptic number.

It is an amenable number.

688825 is a deficient number, since it is larger than the sum of its proper divisors (181655).

688825 is a wasteful number, since it uses less digits than its factorization.

688825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 531 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 688825 is about 829.9548180473. The cubic root of 688825 is about 88.3153715308.

It can be divided in two parts, 6 and 88825, that added together give a triangular number (88831 = T₄₂₁).

The spelling of 688825 in words is "six hundred eighty-eight thousand, eight hundred twenty-five".