255616128 has 128 divisors (see below), whose sum is σ = 775200000. Its totient is φ = 82861056.

The previous prime is 255616103. The next prime is 255616129. The reversal of 255616128 is 821616552.

255616128 is a `hidden beast` number, since 25 + 5 + 616 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 255616092 and 255616101.

It is not an unprimeable number, because it can be changed into a prime (255616129) 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, 126873 + ... + 128871.

It is an arithmetic number, because the mean of its divisors is an integer number (6056250).

Almost surely, 2^255616128 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 255616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387600000).

255616128 is an abundant number, since it is smaller than the sum of its proper divisors (519583872).

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

255616128 is a wasteful number, since it uses less digits than its factorization.

255616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2041 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 255616128 is about 15987.9994996247. Note that the first 3 decimals coincide. The cubic root of 255616128 is about 634.6428876370.

The spelling of 255616128 in words is "two hundred fifty-five million, six hundred sixteen thousand, one hundred twenty-eight".