688629 has 16 divisors (see below), whose sum is σ = 964224. Its totient is φ = 436800.

The previous prime is 688627. The next prime is 688631. The reversal of 688629 is 926886.

688629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (688627) and next prime (688631).

It is not a de Polignac number, because 688629 - 2¹ = 688627 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 9664 + ... + 9734.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

2⁶⁸⁸⁶²⁹ is an apocalyptic number.

It is an amenable number.

688629 is a deficient number, since it is larger than the sum of its proper divisors (275595).

688629 is a wasteful number, since it uses less digits than its factorization.

688629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its digits is 41472, while the sum is 39.

The square root of 688629 is about 829.8367309296. The cubic root of 688629 is about 88.3069942435.

The spelling of 688629 in words is "six hundred eighty-eight thousand, six hundred twenty-nine".