255586320 has 320 divisors, whose sum is σ = 994222080. Its totient is φ = 59788800.

The previous prime is 255586267. The next prime is 255586349. The reversal of 255586320 is 23685552.

It is a happy number.

255586320 is a `hidden beast` number, since 2 + 55 + 586 + 3 + 20 = 666.

255586320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255586320² = 130648733942284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736387 + ... + 736733.

It is an arithmetic number, because the mean of its divisors is an integer number (3106944).

Almost surely, 2^255586320 is an apocalyptic number.

255586320 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 255586320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497111040).

255586320 is an abundant number, since it is smaller than the sum of its proper divisors (738635760).

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

255586320 is a wasteful number, since it uses less digits than its factorization.

255586320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 255586320 is about 15987.0672732681. The cubic root of 255586320 is about 634.6182176097.

It can be divided in two parts, 25558 and 6320, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 255586320 in words is "two hundred fifty-five million, five hundred eighty-six thousand, three hundred twenty".