206986752 has 400 divisors, whose sum is σ = 760522752. Its totient is φ = 54743040.

The previous prime is 206986709. The next prime is 206986753. The reversal of 206986752 is 257689602.

It is a junction number, because it is equal to n+sod(n) for n = 206986698 and 206986707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206986753) 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 39 ways as a sum of consecutive naturals, for example, 6676977 + ... + 6677007.

Almost surely, 2^206986752 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 206986752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380261376).

206986752 is an abundant number, since it is smaller than the sum of its proper divisors (553536000).

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

206986752 is an equidigital number, since it uses as much as digits as its factorization.

206986752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 206986752 is about 14387.0341627453. The cubic root of 206986752 is about 591.5355500065.

The spelling of 206986752 in words is "two hundred six million, nine hundred eighty-six thousand, seven hundred fifty-two".