206787252 has 144 divisors (see below), whose sum is σ = 602598528. Its totient is φ = 54835200.

The previous prime is 206787247. The next prime is 206787257. The reversal of 206787252 is 252787602.

206787252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206787247) and next prime (206787257).

It is a self number, because there is not a number n which added to its sum of digits gives 206787252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206787257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1369377 + ... + 1369527.

It is an arithmetic number, because the mean of its divisors is an integer number (4184712).

Almost surely, 2^206787252 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 206787252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301299264).

206787252 is an abundant number, since it is smaller than the sum of its proper divisors (395811276).

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

206787252 is a wasteful number, since it uses less digits than its factorization.

206787252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 206787252 is about 14380.0991651657. The cubic root of 206787252 is about 591.3454423858.

The spelling of 206787252 in words is "two hundred six million, seven hundred eighty-seven thousand, two hundred fifty-two".