536132256 has 96 divisors (see below), whose sum is σ = 1571125248. Its totient is φ = 158672640.

The previous prime is 536132237. The next prime is 536132287. The reversal of 536132256 is 652231635.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39505 + ... + 51311.

It is an arithmetic number, because the mean of its divisors is an integer number (16365888).

Almost surely, 2^536132256 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 536132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785562624).

536132256 is an abundant number, since it is smaller than the sum of its proper divisors (1034992992).

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

536132256 is a wasteful number, since it uses less digits than its factorization.

536132256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874 (or 11866 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 536132256 is about 23154.5299239695. The cubic root of 536132256 is about 812.3764260506.

The spelling of 536132256 in words is "five hundred thirty-six million, one hundred thirty-two thousand, two hundred fifty-six".