256861760 has 112 divisors (see below), whose sum is σ = 652881600. Its totient is φ = 95975424.

The previous prime is 256861727. The next prime is 256861793. The reversal of 256861760 is 67168652.

256861760 = T₁₉₇ + T₁₉₈ + ... + T₁₁₅₆.

256861760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256861727) and next prime (256861793).

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, 504386 + ... + 504894.

It is an arithmetic number, because the mean of its divisors is an integer number (5829300).

Almost surely, 2^256861760 is an apocalyptic number.

256861760 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 256861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326440800).

256861760 is an abundant number, since it is smaller than the sum of its proper divisors (396019840).

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

256861760 is a wasteful number, since it uses less digits than its factorization.

256861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 256861760 is about 16026.9073747869. The cubic root of 256861760 is about 635.6721013243.

The spelling of 256861760 in words is "two hundred fifty-six million, eight hundred sixty-one thousand, seven hundred sixty".