256006560 has 96 divisors (see below), whose sum is σ = 841518720. Its totient is φ = 65297408.

The previous prime is 256006559. The next prime is 256006573. The reversal of 256006560 is 65600652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

256006560 is a modest number, since divided by 6560 gives 2560 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555 + ... + 22634.

It is an arithmetic number, because the mean of its divisors is an integer number (8765820).

Almost surely, 2^256006560 is an apocalyptic number.

256006560 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 256006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420759360).

256006560 is an abundant number, since it is smaller than the sum of its proper divisors (585512160).

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

256006560 is a wasteful number, since it uses less digits than its factorization.

256006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23230 (or 23222 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 256006560 is about 16000.2049986867. The cubic root of 256006560 is about 634.9658443612.

The spelling of 256006560 in words is "two hundred fifty-six million, six thousand, five hundred sixty".