256576896 has 192 divisors, whose sum is σ = 783029520. Its totient is φ = 83607552.

The previous prime is 256576883. The next prime is 256576909. The reversal of 256576896 is 698675652.

It is a happy number.

256576896 is a `hidden beast` number, since 2 + 565 + 76 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (256576883) and next prime (256576909).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2270536 + ... + 2270648.

Almost surely, 2^256576896 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 256576896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391514760).

256576896 is an abundant number, since it is smaller than the sum of its proper divisors (526452624).

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

256576896 is an equidigital number, since it uses as much as digits as its factorization.

256576896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 256576896 is about 16018.0178549033. The cubic root of 256576896 is about 635.4370240606.

The spelling of 256576896 in words is "two hundred fifty-six million, five hundred seventy-six thousand, eight hundred ninety-six".