256008560 has 40 divisors (see below), whose sum is σ = 601018080. Its totient is φ = 101405952.

The previous prime is 256008547. The next prime is 256008563. The reversal of 256008560 is 65800652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256008563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7295 + ... + 23774.

It is an arithmetic number, because the mean of its divisors is an integer number (15025452).

Almost surely, 2^256008560 is an apocalyptic number.

256008560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256008560 is an abundant number, since it is smaller than the sum of its proper divisors (345009520).

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

256008560 is a wasteful number, since it uses less digits than its factorization.

256008560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31185 (or 31179 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 256008560 is about 16000.2674977639. The cubic root of 256008560 is about 634.9674978714.

The spelling of 256008560 in words is "two hundred fifty-six million, eight thousand, five hundred sixty".