256766560 has 48 divisors (see below), whose sum is σ = 608876352. Its totient is φ = 102323200.

The previous prime is 256766557. The next prime is 256766561. The reversal of 256766560 is 65667652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256766561) 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, 42105 + ... + 47815.

It is an arithmetic number, because the mean of its divisors is an integer number (12684924).

Almost surely, 2^256766560 is an apocalyptic number.

256766560 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 256766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304438176).

256766560 is an abundant number, since it is smaller than the sum of its proper divisors (352109792).

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

256766560 is a wasteful number, since it uses less digits than its factorization.

256766560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The square root of 256766560 is about 16023.9370942350. The cubic root of 256766560 is about 635.5935591260.

The spelling of 256766560 in words is "two hundred fifty-six million, seven hundred sixty-six thousand, five hundred sixty".