256130560 has 80 divisors (see below), whose sum is σ = 701892576. Its totient is φ = 87810048.

The previous prime is 256130557. The next prime is 256130573. The reversal of 256130560 is 65031652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10774 + ... + 25066.

Almost surely, 2^256130560 is an apocalyptic number.

256130560 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 256130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350946288).

256130560 is an abundant number, since it is smaller than the sum of its proper divisors (445762016).

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

256130560 is an equidigital number, since it uses as much as digits as its factorization.

256130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14323 (or 14307 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 256130560 is about 16004.0794799326. The cubic root of 256130560 is about 635.0683457137.

It can be divided in two parts, 256 and 130560, that added together give a triangular number (130816 = T₅₁₁).

The spelling of 256130560 in words is "two hundred fifty-six million, one hundred thirty thousand, five hundred sixty".