688624 has 20 divisors (see below), whose sum is σ = 1347136. Its totient is φ = 340992.

The previous prime is 688621. The next prime is 688627. The reversal of 688624 is 426886.

It is an interprime number because it is at equal distance from previous prime (688621) and next prime (688627).

It is a self number, because there is not a number n which added to its sum of digits gives 688624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2977 + ... + 3199.

2⁶⁸⁸⁶²⁴ is an apocalyptic number.

It is an amenable number.

688624 is a deficient number, since it is larger than the sum of its proper divisors (658512).

688624 is a wasteful number, since it uses less digits than its factorization.

688624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 688624 is about 829.8337182834. The cubic root of 688624 is about 88.3067805164.

The spelling of 688624 in words is "six hundred eighty-eight thousand, six hundred twenty-four".