688734 has 24 divisors (see below), whose sum is σ = 1513512. Its totient is φ = 226320.

The previous prime is 688733. The next prime is 688741. The reversal of 688734 is 437886.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1264 + ... + 1724.

It is an arithmetic number, because the mean of its divisors is an integer number (63063).

2⁶⁸⁸⁷³⁴ is an apocalyptic number.

688734 is an abundant number, since it is smaller than the sum of its proper divisors (824778).

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

688734 is a wasteful number, since it uses less digits than its factorization.

688734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 549 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 688734 is about 829.8999939752. The cubic root of 688734 is about 88.3114822736.

The spelling of 688734 in words is "six hundred eighty-eight thousand, seven hundred thirty-four".