255936672 has 120 divisors (see below), whose sum is σ = 757512756. Its totient is φ = 84768768.

The previous prime is 255936661. The next prime is 255936673. The reversal of 255936672 is 276639552.

255936672 is a `hidden beast` number, since 2 + 559 + 36 + 67 + 2 = 666.

255936672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 249766416 + 6170256 = 15804^2 + 2484^2 .

It is not an unprimeable number, because it can be changed into a prime (255936673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 759288 + ... + 759624.

Almost surely, 2^255936672 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 255936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378756378).

255936672 is an abundant number, since it is smaller than the sum of its proper divisors (501576084).

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

255936672 is a wasteful number, since it uses less digits than its factorization.

255936672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 635 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 255936672 is about 15998.0208775961. The cubic root of 255936672 is about 634.9080586913.

The spelling of 255936672 in words is "two hundred fifty-five million, nine hundred thirty-six thousand, six hundred seventy-two".