255635120 has 160 divisors (see below), whose sum is σ = 714329280. Its totient is φ = 84049920.

The previous prime is 255635119. The next prime is 255635131. The reversal of 255635120 is 21536552.

It is a happy number.

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, 335540 + ... + 336300.

It is an arithmetic number, because the mean of its divisors is an integer number (4464558).

Almost surely, 2^255635120 is an apocalyptic number.

255635120 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 255635120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357164640).

255635120 is an abundant number, since it is smaller than the sum of its proper divisors (458694160).

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

255635120 is a wasteful number, since it uses less digits than its factorization.

255635120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 255635120 is about 15988.5934340704. The cubic root of 255635120 is about 634.6586050063.

The spelling of 255635120 in words is "two hundred fifty-five million, six hundred thirty-five thousand, one hundred twenty".