36320256 has 132 divisors (see below), whose sum is σ = 120068832. Its totient is φ = 10358784.

The previous prime is 36320239. The next prime is 36320257. The reversal of 36320256 is 65202363.

36320256 is a `hidden beast` number, since 3 + 632 + 0 + 25 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36320257) 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, 64231 + ... + 64793.

Almost surely, 2^36320256 is an apocalyptic number.

36320256 is a gapful number since it is divisible by the number (36) 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 36320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60034416).

36320256 is an abundant number, since it is smaller than the sum of its proper divisors (83748576).

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

36320256 is a wasteful number, since it uses less digits than its factorization.

36320256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36320256 is about 6026.6289084363. The cubic root of 36320256 is about 331.1689671967.

The spelling of 36320256 in words is "thirty-six million, three hundred twenty thousand, two hundred fifty-six".