256128 has 64 divisors (see below), whose sum is σ = 734400. Its totient is φ = 78848.

The previous prime is 256121. The next prime is 256129. The reversal of 256128 is 821652.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 256098 and 256107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256121) by changing a digit.

256128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8818 + ... + 8846.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2²⁵⁶¹²⁸ 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 256128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

256128 is an abundant number, since it is smaller than the sum of its proper divisors (478272).

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

256128 is a wasteful number, since it uses less digits than its factorization.

256128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 57 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 256128 is about 506.0909009259. The cubic root of 256128 is about 63.5066229891.

It can be divided in two parts, 256 and 128, that multiplied together give a 15-th power (32768 = 2¹⁵).

The spelling of 256128 in words is "two hundred fifty-six thousand, one hundred twenty-eight".