36256 has 24 divisors (see below), whose sum is σ = 78624. Its totient is φ = 16320.

The previous prime is 36251. The next prime is 36263. The reversal of 36256 is 65263.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (36251) by changing a digit.

36256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301 + ... + 403.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2³⁶²⁵⁶ 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 36256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

36256 is an abundant number, since it is smaller than the sum of its proper divisors (42368).

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

36256 is a wasteful number, since it uses less digits than its factorization.

36256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 36256 is about 190.4100837666. The cubic root of 36256 is about 33.0973555997.

It can be divided in two parts, 36 and 256, that multiplied together give a square (9216 = 96²).

The spelling of 36256 in words is "thirty-six thousand, two hundred fifty-six".