256066560 has 132 divisors (see below), whose sum is σ = 887423628. Its totient is φ = 68272128.

The previous prime is 256066519. The next prime is 256066561. The reversal of 256066560 is 65660652.

It can be written as a sum of positive squares in 2 ways, for example, as 178062336 + 78004224 = 13344^2 + 8832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (256066561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43302 + ... + 48858.

Almost surely, 2^256066560 is an apocalyptic number.

256066560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443711814).

256066560 is an abundant number, since it is smaller than the sum of its proper divisors (631357068).

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

256066560 is a wasteful number, since it uses less digits than its factorization.

256066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 256066560 is about 16002.0798648176. The cubic root of 256066560 is about 635.0154459218.

The spelling of 256066560 in words is "two hundred fifty-six million, sixty-six thousand, five hundred sixty".