206532432 has 180 divisors, whose sum is σ = 635668020. Its totient is φ = 62512128.

The previous prime is 206532383. The next prime is 206532463. The reversal of 206532432 is 234235602.

206532432 is a `hidden beast` number, since 2 + 0 + 653 + 2 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114832656 + 91699776 = 10716^2 + 9576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 206532396 and 206532405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1507468 + ... + 1507604.

It is an arithmetic number, because the mean of its divisors is an integer number (3531489).

Almost surely, 2^206532432 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 206532432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317834010).

206532432 is an abundant number, since it is smaller than the sum of its proper divisors (429135588).

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

206532432 is a wasteful number, since it uses less digits than its factorization.

206532432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 206532432 is about 14371.2362724993. The cubic root of 206532432 is about 591.1024412939.

The spelling of 206532432 in words is "two hundred six million, five hundred thirty-two thousand, four hundred thirty-two".