255601920 has 288 divisors, whose sum is σ = 961890048. Its totient is φ = 56623104.

The previous prime is 255601909. The next prime is 255601937. The reversal of 255601920 is 29106552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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, 994432 + ... + 994688.

It is an arithmetic number, because the mean of its divisors is an integer number (3339896).

Almost surely, 2^255601920 is an apocalyptic number.

255601920 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 255601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480945024).

255601920 is an abundant number, since it is smaller than the sum of its proper divisors (706288128).

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

255601920 is a wasteful number, since it uses less digits than its factorization.

255601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 255601920 is about 15987.5551601863. Note that the first 3 decimals coincide. The cubic root of 255601920 is about 634.6311288938.

The spelling of 255601920 in words is "two hundred fifty-five million, six hundred one thousand, nine hundred twenty".