688610 has 16 divisors (see below), whose sum is σ = 1335096. Its totient is φ = 254208.

The previous prime is 688591. The next prime is 688621. The reversal of 688610 is 16886.

It can be written as a sum of positive squares in 4 ways, for example, as 537289 + 151321 = 733^2 + 389^2 .

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 688610.

It is an unprimeable number.

688610 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 7 ways as a sum of consecutive naturals, for example, 2519 + ... + 2778.

2⁶⁸⁸⁶¹⁰ is an apocalyptic number.

688610 is a deficient number, since it is larger than the sum of its proper divisors (646486).

688610 is a wasteful number, since it uses less digits than its factorization.

688610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 688610 is about 829.8252828156. The cubic root of 688610 is about 88.3061820750.

The spelling of 688610 in words is "six hundred eighty-eight thousand, six hundred ten".