255603600 has 600 divisors, whose sum is σ = 1116297600. Its totient is φ = 55883520.

The previous prime is 255603571. The next prime is 255603613. The reversal of 255603600 is 6306552.

255603600 is a `hidden beast` number, since 2 + 5 + 56 + 0 + 3 + 600 = 666.

255603600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 11113189 + ... + 11113211.

It is an arithmetic number, because the mean of its divisors is an integer number (1860496).

Almost surely, 2^255603600 is an apocalyptic number.

255603600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255603600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558148800).

255603600 is an abundant number, since it is smaller than the sum of its proper divisors (860694000).

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

255603600 is a wasteful number, since it uses less digits than its factorization.

255603600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 255603600 is about 15987.6077009664. The cubic root of 255603600 is about 634.6325193085.

The spelling of 255603600 in words is "two hundred fifty-five million, six hundred three thousand, six hundred".