255921120 has 720 divisors, whose sum is σ = 1167965568. Its totient is φ = 52254720.

The previous prime is 255921103. The next prime is 255921181. The reversal of 255921120 is 21129552.

It is a tau number, because it is divible by the number of its divisors (720).

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, 8255505 + ... + 8255535.

Almost surely, 2^255921120 is an apocalyptic number.

255921120 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 255921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583982784).

255921120 is an abundant number, since it is smaller than the sum of its proper divisors (912044448).

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

255921120 is a wasteful number, since it uses less digits than its factorization.

255921120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 255921120 is about 15997.5348100887. The cubic root of 255921120 is about 634.8951983614.

The spelling of 255921120 in words is "two hundred fifty-five million, nine hundred twenty-one thousand, one hundred twenty".