206956096 has 112 divisors (see below), whose sum is σ = 459705456. Its totient is φ = 92012544.

The previous prime is 206956067. The next prime is 206956109. The reversal of 206956096 is 690659602.

It can be written as a sum of positive squares in 8 ways, for example, as 41473600 + 165482496 = 6440^2 + 12864^2 .

It is a super-2 number, since 2×206956096² = 85661651343122432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2133520 + ... + 2133616.

It is an arithmetic number, because the mean of its divisors is an integer number (4104513).

Almost surely, 2^206956096 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 206956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229852728).

206956096 is an abundant number, since it is smaller than the sum of its proper divisors (252749360).

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

206956096 is a wasteful number, since it uses less digits than its factorization.

206956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 206956096 is about 14385.9687195545. The cubic root of 206956096 is about 591.5063452242.

The spelling of 206956096 in words is "two hundred six million, nine hundred fifty-six thousand, ninety-six".