523688 has 24 divisors (see below), whose sum is σ = 1081290. Its totient is φ = 237600.

The previous prime is 523681. The next prime is 523717. The reversal of 523688 is 886325.

It can be written as a sum of positive squares in only one way, i.e., 465124 + 58564 = 682^2 + 242^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 523688.

It is not an unprimeable number, because it can be changed into a prime (523681) by changing a digit.

523688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 698 + ... + 1238.

2⁵²³⁶⁸⁸ 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 523688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540645).

523688 is an abundant number, since it is smaller than the sum of its proper divisors (557602).

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

523688 is a wasteful number, since it uses less digits than its factorization.

523688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 554 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 523688 is about 723.6629049495. The cubic root of 523688 is about 80.6041756606.

The spelling of 523688 in words is "five hundred twenty-three thousand, six hundred eighty-eight".