256567080 has 128 divisors (see below), whose sum is σ = 959662080. Its totient is φ = 53310720.

The previous prime is 256567079. The next prime is 256567097. The reversal of 256567080 is 80765652.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4644 + ... + 23123.

It is an arithmetic number, because the mean of its divisors is an integer number (7497360).

Almost surely, 2^256567080 is an apocalyptic number.

256567080 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 256567080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479831040).

256567080 is an abundant number, since it is smaller than the sum of its proper divisors (703095000).

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

256567080 is a wasteful number, since it uses less digits than its factorization.

256567080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27799 (or 27795 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 256567080 is about 16017.7114470201. The cubic root of 256567080 is about 635.4289205389.

The spelling of 256567080 in words is "two hundred fifty-six million, five hundred sixty-seven thousand, eighty".