255605760 has 264 divisors, whose sum is σ = 929993040. Its totient is φ = 66576384.

The previous prime is 255605747. The next prime is 255605783. The reversal of 255605760 is 67506552.

255605760 is a `hidden beast` number, since 25 + 5 + 60 + 576 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5944299 + ... + 5944341.

Almost surely, 2^255605760 is an apocalyptic number.

255605760 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 255605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464996520).

255605760 is an abundant number, since it is smaller than the sum of its proper divisors (674387280).

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

255605760 is an equidigital number, since it uses as much as digits as its factorization.

255605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 255605760 is about 15987.6752531442. The cubic root of 255605760 is about 634.6343069755.

The spelling of 255605760 in words is "two hundred fifty-five million, six hundred five thousand, seven hundred sixty".