255920 has 40 divisors (see below), whose sum is σ = 681504. Its totient is φ = 87552.

The previous prime is 255919. The next prime is 255923. The reversal of 255920 is 29552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 255920.

It is not an unprimeable number, because it can be changed into a prime (255923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332 + ... + 788.

2²⁵⁵⁹²⁰ is an apocalyptic number.

255920 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 255920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340752).

255920 is an abundant number, since it is smaller than the sum of its proper divisors (425584).

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

255920 is a wasteful number, since it uses less digits than its factorization.

255920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 255920 is about 505.8853625081. The cubic root of 255920 is about 63.4894272186.

The spelling of 255920 in words is "two hundred fifty-five thousand, nine hundred twenty".