36024 has 32 divisors (see below), whose sum is σ = 96000. Its totient is φ = 11232.

The previous prime is 36017. The next prime is 36037. The reversal of 36024 is 42063.

36024 is nontrivially palindromic in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 35994 and 36012.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 417 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (3000).

2³⁶⁰²⁴ 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 36024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48000).

36024 is an abundant number, since it is smaller than the sum of its proper divisors (59976).

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

36024 is a wasteful number, since it uses less digits than its factorization.

36024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 36024 is about 189.7998946259. The cubic root of 36024 is about 33.0266084751.

Adding to 36024 its reverse (42063), we get a palindrome (78087).

The spelling of 36024 in words is "thirty-six thousand, twenty-four".