688712 has 32 divisors (see below), whose sum is σ = 1425600. Its totient is φ = 310464.

The previous prime is 688697. The next prime is 688717. The reversal of 688712 is 217886.

It is not an unprimeable number, because it can be changed into a prime (688717) by changing a digit.

688712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3398 + ... + 3594.

It is an arithmetic number, because the mean of its divisors is an integer number (44550).

2⁶⁸⁸⁷¹² is an apocalyptic number.

It is an amenable number.

688712 is an abundant number, since it is smaller than the sum of its proper divisors (736888).

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

688712 is a wasteful number, since it uses less digits than its factorization.

688712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 688712 is about 829.8867392602. The cubic root of 688712 is about 88.3105419622.

It can be divided in two parts, 68 and 8712, that multiplied together give a triangular number (592416 = T₁₀₈₈).

The spelling of 688712 in words is "six hundred eighty-eight thousand, seven hundred twelve".