256206006 has 72 divisors (see below), whose sum is σ = 654095520. Its totient is φ = 72255456.

The previous prime is 256205969. The next prime is 256206017. The reversal of 256206006 is 600602652.

256206006 is a `hidden beast` number, since 2 + 56 + 2 + 0 + 600 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67840 + ... + 71516.

It is an arithmetic number, because the mean of its divisors is an integer number (9084660).

Almost surely, 2^256206006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256206006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327047760).

256206006 is an abundant number, since it is smaller than the sum of its proper divisors (397889514).

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

256206006 is a wasteful number, since it uses less digits than its factorization.

256206006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 256206006 is about 16006.4363929015. The cubic root of 256206006 is about 635.1306949868.

Adding to 256206006 its reverse (600602652), we get a palindrome (856808658).

It can be divided in two parts, 25620 and 6006, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 256206006 in words is "two hundred fifty-six million, two hundred six thousand, six".