688472 has 16 divisors (see below), whose sum is σ = 1323000. Its totient is φ = 335680.

The previous prime is 688453. The next prime is 688477. The reversal of 688472 is 274886.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688472.

It is not an unprimeable number, because it can be changed into a prime (688477) by changing a digit.

688472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 722 + ... + 1377.

2⁶⁸⁸⁴⁷² is an apocalyptic number.

It is an amenable number.

688472 is a deficient number, since it is larger than the sum of its proper divisors (634528).

688472 is a wasteful number, since it uses less digits than its factorization.

688472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2142 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 688472 is about 829.7421286159. The cubic root of 688472 is about 88.3002827187.

The spelling of 688472 in words is "six hundred eighty-eight thousand, four hundred seventy-two".