536256 has 126 divisors (see below), whose sum is σ = 1882140. Its totient is φ = 145152.

The previous prime is 536243. The next prime is 536267. The reversal of 536256 is 652635.

It is a tau number, because it is divible by the number of its divisors (126).

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 536256.

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 28215 + ... + 28233.

2⁵³⁶²⁵⁶ is an apocalyptic number.

536256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941070).

536256 is an abundant number, since it is smaller than the sum of its proper divisors (1345884).

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

536256 is a wasteful number, since it uses less digits than its factorization.

536256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 31 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 536256 is about 732.2950225148. The cubic root of 536256 is about 81.2438922430.

The spelling of 536256 in words is "five hundred thirty-six thousand, two hundred fifty-six".