256032 has 72 divisors (see below), whose sum is σ = 838656. Its totient is φ = 72576.

The previous prime is 256031. The next prime is 256033. The reversal of 256032 is 230652.

It is an interprime number because it is at equal distance from previous prime (256031) and next prime (256033).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2⁵ + 5⁷ + 0 + 6³ + 3¹¹ + 2⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 255996 and 256014.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256032.

It is not an unprimeable number, because it can be changed into a prime (256031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1953 + ... + 2079.

It is an arithmetic number, because the mean of its divisors is an integer number (11648).

2²⁵⁶⁰³² 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 256032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328).

256032 is an abundant number, since it is smaller than the sum of its proper divisors (582624).

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

256032 is a wasteful number, since it uses less digits than its factorization.

256032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 256032 is about 505.9960474154. The cubic root of 256032 is about 63.4986876369.

Adding to 256032 its reverse (230652), we get a palindrome (486684).

The spelling of 256032 in words is "two hundred fifty-six thousand, thirty-two".