206832528 has 150 divisors (see below), whose sum is σ = 696583206. Its totient is φ = 59076864.

The previous prime is 206832487. The next prime is 206832533. The reversal of 206832528 is 825238602.

It can be written as a sum of positive squares in only one way, i.e., 199148544 + 7683984 = 14112^2 + 2772^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206832492 and 206832501.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61876 + ... + 65132.

Almost surely, 2^206832528 is an apocalyptic number.

206832528 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 206832528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348291603).

206832528 is an abundant number, since it is smaller than the sum of its proper divisors (489750678).

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

206832528 is a wasteful number, since it uses less digits than its factorization.

206832528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 206832528 is about 14381.6733379673. The cubic root of 206832528 is about 591.3885975323.

It can be divided in two parts, 2068 and 32528, that added together give a square (34596 = 186²).

The spelling of 206832528 in words is "two hundred six million, eight hundred thirty-two thousand, five hundred twenty-eight".