36504120 has 64 divisors (see below), whose sum is σ = 110574720. Its totient is φ = 9640064.

The previous prime is 36504077. The next prime is 36504157. The reversal of 36504120 is 2140563.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11419 + ... + 14261.

It is an arithmetic number, because the mean of its divisors is an integer number (1727730).

Almost surely, 2^36504120 is an apocalyptic number.

36504120 is a gapful number since it is divisible by the number (30) 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 36504120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55287360).

36504120 is an abundant number, since it is smaller than the sum of its proper divisors (74070600).

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

36504120 is a wasteful number, since it uses less digits than its factorization.

36504120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 36504120 is about 6041.8639508019. The cubic root of 36504120 is about 331.7268523164.

Adding to 36504120 its reverse (2140563), we get a palindrome (38644683).

The spelling of 36504120 in words is "thirty-six million, five hundred four thousand, one hundred twenty".