256762560 has 112 divisors (see below), whose sum is σ = 863230176. Its totient is φ = 64438272.

The previous prime is 256762537. The next prime is 256762579. The reversal of 256762560 is 65267652.

256762560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 8454 + ... + 24186.

Almost surely, 2^256762560 is an apocalyptic number.

256762560 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 256762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431615088).

256762560 is an abundant number, since it is smaller than the sum of its proper divisors (606467616).

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

256762560 is a wasteful number, since it uses less digits than its factorization.

256762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15770 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 256762560 is about 16023.8122804781. The cubic root of 256762560 is about 635.5902586086.

The spelling of 256762560 in words is "two hundred fifty-six million, seven hundred sixty-two thousand, five hundred sixty".