205996752 has 120 divisors (see below), whose sum is σ = 657473544. Its totient is φ = 59645952.

The previous prime is 205996697. The next prime is 205996753. The reversal of 205996752 is 257699502.

205996752 is a `hidden beast` number, since 2 + 0 + 599 + 6 + 7 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6170256 + 199826496 = 2484^2 + 14136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205996698 and 205996707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205996753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28588 + ... + 35060.

Almost surely, 2^205996752 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 205996752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328736772).

205996752 is an abundant number, since it is smaller than the sum of its proper divisors (451476792).

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

205996752 is a wasteful number, since it uses less digits than its factorization.

205996752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 205996752 is about 14352.5869445198. The cubic root of 205996752 is about 590.5909543825.

The spelling of 205996752 in words is "two hundred five million, nine hundred ninety-six thousand, seven hundred fifty-two".