255131968 has 112 divisors (see below), whose sum is σ = 632911104. Its totient is φ = 99348480.

The previous prime is 255131963. The next prime is 255131993. The reversal of 255131968 is 869131552.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (64800) is a multiple of the sum of its prime factors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 255131968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255131963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413196 + ... + 413812.

It is an arithmetic number, because the mean of its divisors is an integer number (5650992).

Almost surely, 2^255131968 is an apocalyptic number.

255131968 is a gapful number since it is divisible by the number (28) 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 255131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316455552).

255131968 is an abundant number, since it is smaller than the sum of its proper divisors (377779136).

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

255131968 is a wasteful number, since it uses less digits than its factorization.

255131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its digits is 64800, while the sum is 40.

The square root of 255131968 is about 15972.8509665620. The cubic root of 255131968 is about 634.2419441005.

The spelling of 255131968 in words is "two hundred fifty-five million, one hundred thirty-one thousand, nine hundred sixty-eight".