36585108 has 144 divisors (see below), whose sum is σ = 115781120. Its totient is φ = 9867744.

The previous prime is 36585091. The next prime is 36585113. The reversal of 36585108 is 80158563.

36585108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129135 + ... + 129417.

Almost surely, 2^36585108 is an apocalyptic number.

36585108 is a gapful number since it is divisible by the number (38) 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 36585108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57890560).

36585108 is an abundant number, since it is smaller than the sum of its proper divisors (79196012).

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

36585108 is a wasteful number, since it uses less digits than its factorization.

36585108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 36585108 is about 6048.5624738445. The cubic root of 36585108 is about 331.9719940570.

The spelling of 36585108 in words is "thirty-six million, five hundred eighty-five thousand, one hundred eight".