255564960 has 192 divisors, whose sum is σ = 960325632. Its totient is φ = 55858176.

The previous prime is 255564889. The next prime is 255564971. The reversal of 255564960 is 69465552.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75627 + ... + 78933.

It is an arithmetic number, because the mean of its divisors is an integer number (5001696).

Almost surely, 2^255564960 is an apocalyptic number.

255564960 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 255564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480162816).

255564960 is an abundant number, since it is smaller than the sum of its proper divisors (704760672).

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

255564960 is a wasteful number, since it uses less digits than its factorization.

255564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 255564960 is about 15986.3992193364. The cubic root of 255564960 is about 634.6005382301.

The spelling of 255564960 in words is "two hundred fifty-five million, five hundred sixty-four thousand, nine hundred sixty".