256680576 has 160 divisors (see below), whose sum is σ = 804698400. Its totient is φ = 80994816.

The previous prime is 256680563. The next prime is 256680577. The reversal of 256680576 is 675086652.

256680576 is a `hidden beast` number, since 2 + 566 + 80 + 5 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (256680577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196341 + ... + 197643.

It is an arithmetic number, because the mean of its divisors is an integer number (5029365).

Almost surely, 2^256680576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402349200).

256680576 is an abundant number, since it is smaller than the sum of its proper divisors (548017824).

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

256680576 is a wasteful number, since it uses less digits than its factorization.

256680576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 256680576 is about 16021.2538835136. The cubic root of 256680576 is about 635.5226036530.

The spelling of 256680576 in words is "two hundred fifty-six million, six hundred eighty thousand, five hundred seventy-six".