688256 has 32 divisors (see below), whose sum is σ = 1448400. Its totient is φ = 324864.

The previous prime is 688253. The next prime is 688277. The reversal of 688256 is 652886.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (688253) 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, 2291 + ... + 2573.

2⁶⁸⁸²⁵⁶ 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 688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724200).

688256 is an abundant number, since it is smaller than the sum of its proper divisors (760144).

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

688256 is a wasteful number, since it uses less digits than its factorization.

688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 688256 is about 829.6119574837. The cubic root of 688256 is about 88.2910473607.

The spelling of 688256 in words is "six hundred eighty-eight thousand, two hundred fifty-six".