206528 has 28 divisors (see below), whose sum is σ = 469392. Its totient is φ = 88320.

The previous prime is 206527. The next prime is 206543. The reversal of 206528 is 825602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

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 206528.

It is not an unprimeable number, because it can be changed into a prime (206527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218 + ... + 678.

It is an arithmetic number, because the mean of its divisors is an integer number (16764).

2²⁰⁶⁵²⁸ is an apocalyptic number.

206528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234696).

206528 is an abundant number, since it is smaller than the sum of its proper divisors (262864).

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

206528 is an equidigital number, since it uses as much as digits as its factorization.

206528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 206528 is about 454.4535179752. The cubic root of 206528 is about 59.1098213088.

The spelling of 206528 in words is "two hundred six thousand, five hundred twenty-eight".