688132 has 12 divisors (see below), whose sum is σ = 1221696. Its totient is φ = 339080.

The previous prime is 688111. The next prime is 688133. The reversal of 688132 is 231886.

It is a self number, because there is not a number n which added to its sum of digits gives 688132.

It is not an unprimeable number, because it can be changed into a prime (688133) by changing a digit.

688132 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 3 ways as a sum of consecutive naturals, for example, 928 + ... + 1495.

It is an arithmetic number, because the mean of its divisors is an integer number (101808).

2⁶⁸⁸¹³² is an apocalyptic number.

It is an amenable number.

688132 is a deficient number, since it is larger than the sum of its proper divisors (533564).

688132 is a wasteful number, since it uses less digits than its factorization.

688132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2496 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 688132 is about 829.5372203825. The cubic root of 688132 is about 88.2857447081.

It can be divided in two parts, 688 and 132, that added together give a triangular number (820 = T₄₀).

The spelling of 688132 in words is "six hundred eighty-eight thousand, one hundred thirty-two".