255601008 has 180 divisors, whose sum is σ = 805339080. Its totient is φ = 78444288.

The previous prime is 255600997. The next prime is 255601013. The reversal of 255601008 is 800106552.

255601008 is a `hidden beast` number, since 2 + 55 + 601 + 0 + 0 + 8 = 666.

255601008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 656878 + ... + 657266.

It is an arithmetic number, because the mean of its divisors is an integer number (4474106).

Almost surely, 2^255601008 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 255601008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402669540).

255601008 is an abundant number, since it is smaller than the sum of its proper divisors (549738072).

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

255601008 is a wasteful number, since it uses less digits than its factorization.

255601008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 255601008 is about 15987.5266379762. The cubic root of 255601008 is about 634.6303740948.

The spelling of 255601008 in words is "two hundred fifty-five million, six hundred one thousand, eight".