36561200 has 120 divisors (see below), whose sum is σ = 96868800. Its totient is φ = 13178880.

The previous prime is 36561197. The next prime is 36561209. The reversal of 36561200 is 216563.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36561209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410756 + ... + 410844.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 2^36561200 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 36561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48434400).

36561200 is an abundant number, since it is smaller than the sum of its proper divisors (60307600).

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

36561200 is a wasteful number, since it uses less digits than its factorization.

36561200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 36561200 is about 6046.5858134984. The cubic root of 36561200 is about 331.8996648465.

Adding to 36561200 its reverse (216563), we get a palindrome (36777763).

The spelling of 36561200 in words is "thirty-six million, five hundred sixty-one thousand, two hundred".