36504200 has 48 divisors (see below), whose sum is σ = 87183780. Its totient is φ = 14204160.

The previous prime is 36504191. The next prime is 36504257. The reversal of 36504200 is 240563.

It can be written as a sum of positive squares in 6 ways, for example, as 17859076 + 18645124 = 4226^2 + 4318^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4934 + ... + 9866.

Almost surely, 2^36504200 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 36504200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43591890).

36504200 is an abundant number, since it is smaller than the sum of its proper divisors (50679580).

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

36504200 is a wasteful number, since it uses less digits than its factorization.

36504200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 36504200 is about 6041.8705712718. The cubic root of 36504200 is about 331.7270946464.

Adding to 36504200 its reverse (240563), we get a palindrome (36744763).

The spelling of 36504200 in words is "thirty-six million, five hundred four thousand, two hundred".