255596832 has 72 divisors (see below), whose sum is σ = 738819900. Its totient is φ = 83796480.

The previous prime is 255596801. The next prime is 255596833. The reversal of 255596832 is 238695552.

255596832 is a `hidden beast` number, since 2 + 5 + 559 + 68 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 252047376 + 3549456 = 15876^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (255596833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10294 + ... + 24842.

Almost surely, 2^255596832 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 255596832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369409950).

255596832 is an abundant number, since it is smaller than the sum of its proper divisors (483223068).

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

255596832 is a wasteful number, since it uses less digits than its factorization.

255596832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14626 (or 14615 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 255596832 is about 15987.3960356276. The cubic root of 255596832 is about 634.6269178866.

The spelling of 255596832 in words is "two hundred fifty-five million, five hundred ninety-six thousand, eight hundred thirty-two".