206624256 has 160 divisors (see below), whose sum is σ = 600149088. Its totient is φ = 62914560.

The previous prime is 206624251. The next prime is 206624261. The reversal of 206624256 is 652426602.

It is an interprime number because it is at equal distance from previous prime (206624251) and next prime (206624261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206624251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070496 + ... + 1070688.

Almost surely, 2^206624256 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 206624256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300074544).

206624256 is an abundant number, since it is smaller than the sum of its proper divisors (393524832).

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

206624256 is a wasteful number, since it uses less digits than its factorization.

206624256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 206624256 is about 14374.4306322024. The cubic root of 206624256 is about 591.1900293918.

The spelling of 206624256 in words is "two hundred six million, six hundred twenty-four thousand, two hundred fifty-six".