688268 has 24 divisors (see below), whose sum is σ = 1408512. Its totient is φ = 288144.

The previous prime is 688253. The next prime is 688277. The reversal of 688268 is 862886.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688268.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (58688).

2⁶⁸⁸²⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704256).

688268 is an abundant number, since it is smaller than the sum of its proper divisors (720244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

688268 is a wasteful number, since it uses less digits than its factorization.

688268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 688268 is about 829.6191897491. The cubic root of 688268 is about 88.2915604869.

The spelling of 688268 in words is "six hundred eighty-eight thousand, two hundred sixty-eight".