532688 has 30 divisors (see below), whose sum is σ = 1123254. Its totient is φ = 244608.

The previous prime is 532687. The next prime is 532691. The reversal of 532688 is 886235.

It can be written as a sum of positive squares in 3 ways, for example, as 53824 + 478864 = 232^2 + 692^2 .

It is a d-powerful number, because it can be written as 5 + 3¹² + 6³ + 2 + 8³ + 8³ .

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 532688.

It is not an unprimeable number, because it can be changed into a prime (532687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2606 + ... + 2802.

2⁵³²⁶⁸⁸ 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 532688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561627).

532688 is an abundant number, since it is smaller than the sum of its proper divisors (590566).

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

532688 is a wasteful number, since it uses less digits than its factorization.

532688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

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

The square root of 532688 is about 729.8547800761. The cubic root of 532688 is about 81.0633046755.

The spelling of 532688 in words is "five hundred thirty-two thousand, six hundred eighty-eight".