255983616 has 216 divisors, whose sum is σ = 872411904. Its totient is φ = 70778880.

The previous prime is 255983597. The next prime is 255983653. The reversal of 255983616 is 616389552.

255983616 is a `hidden beast` number, since 2 + 559 + 83 + 6 + 16 = 666.

It is a super-2 number, since 2×255983616² = 131055223320870912, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8257521 + ... + 8257551.

It is an arithmetic number, because the mean of its divisors is an integer number (4038944).

Almost surely, 2^255983616 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 255983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436205952).

255983616 is an abundant number, since it is smaller than the sum of its proper divisors (616428288).

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

255983616 is an frugal number, since it uses more digits than its factorization.

255983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 43 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 255983616 is about 15999.4879918077. The cubic root of 255983616 is about 634.9468746760.

The spelling of 255983616 in words is "two hundred fifty-five million, nine hundred eighty-three thousand, six hundred sixteen".