255962016 has 144 divisors (see below), whose sum is σ = 761571720. Its totient is φ = 81469440.

The previous prime is 255962011. The next prime is 255962051. The reversal of 255962016 is 610269552.

255962016 is a `hidden beast` number, since 25 + 5 + 9 + 620 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 231161616 + 24800400 = 15204^2 + 4980^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255962011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625620 + ... + 626028.

Almost surely, 2^255962016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255962016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380785860).

255962016 is an abundant number, since it is smaller than the sum of its proper divisors (505609704).

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

255962016 is a wasteful number, since it uses less digits than its factorization.

255962016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 255962016 is about 15998.8129559665. The cubic root of 255962016 is about 634.9290151498.

The spelling of 255962016 in words is "two hundred fifty-five million, nine hundred sixty-two thousand, sixteen".