36456 has 48 divisors (see below), whose sum is σ = 109440. Its totient is φ = 10080.

The previous prime is 36451. The next prime is 36457. The reversal of 36456 is 65463.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (2160) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (36451) by changing a digit.

36456 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1161 + ... + 1191.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

2³⁶⁴⁵⁶ 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 36456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720).

36456 is an abundant number, since it is smaller than the sum of its proper divisors (72984).

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

36456 is a wasteful number, since it uses less digits than its factorization.

36456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 43 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 36456 is about 190.9345437578. The cubic root of 36456 is about 33.1581026628.

The spelling of 36456 in words is "thirty-six thousand, four hundred fifty-six".