688275 has 72 divisors (see below), whose sum is σ = 1547520. Its totient is φ = 285120.

The previous prime is 688253. The next prime is 688277. The reversal of 688275 is 572886.

It is not a de Polignac number, because 688275 - 2⁷ = 688147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (688277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29914 + ... + 29936.

2⁶⁸⁸²⁷⁵ is an apocalyptic number.

688275 is the 525-th heptagonal number.

688275 is an abundant number, since it is smaller than the sum of its proper divisors (859245).

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

688275 is a wasteful number, since it uses less digits than its factorization.

688275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 57 counting only the distinct ones).

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

The square root of 688275 is about 829.6234085415. The cubic root of 688275 is about 88.2918598077.

The spelling of 688275 in words is "six hundred eighty-eight thousand, two hundred seventy-five".