255636000 has 288 divisors, whose sum is σ = 944431488. Its totient is φ = 67910400.

The previous prime is 255635983. The next prime is 255636001. The reversal of 255636000 is 636552.

255636000 is a `hidden beast` number, since 2 + 5 + 56 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (255636001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971869 + ... + 972131.

It is an arithmetic number, because the mean of its divisors is an integer number (3279276).

Almost surely, 2^255636000 is an apocalyptic number.

255636000 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 255636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472215744).

255636000 is an abundant number, since it is smaller than the sum of its proper divisors (688795488).

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

255636000 is an equidigital number, since it uses as much as digits as its factorization.

255636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 273 counting only the distinct ones).

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

The square root of 255636000 is about 15988.6209536658. The cubic root of 255636000 is about 634.6593332564.

The spelling of 255636000 in words is "two hundred fifty-five million, six hundred thirty-six thousand".