36508120 has 96 divisors (see below), whose sum is σ = 95281200. Its totient is φ = 12545280.

The previous prime is 36508117. The next prime is 36508127. The reversal of 36508120 is 2180563.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36508127) 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, 91762 + ... + 92158.

Almost surely, 2^36508120 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 36508120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47640600).

36508120 is an abundant number, since it is smaller than the sum of its proper divisors (58773080).

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

36508120 is a wasteful number, since it uses less digits than its factorization.

36508120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 36508120 is about 6042.1949654079. The cubic root of 36508120 is about 331.7389683821.

Adding to 36508120 its reverse (2180563), we get a palindrome (38688683).

The spelling of 36508120 in words is "thirty-six million, five hundred eight thousand, one hundred twenty".