36108288 has 96 divisors (see below), whose sum is σ = 107125200. Its totient is φ = 12017664.

The previous prime is 36108287. The next prime is 36108299. The reversal of 36108288 is 88280163.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36108287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54970 + ... + 55622.

Almost surely, 2^36108288 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 36108288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53562600).

36108288 is an abundant number, since it is smaller than the sum of its proper divisors (71016912).

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

36108288 is an equidigital number, since it uses as much as digits as its factorization.

36108288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 36108288 is about 6009.0172241391. The cubic root of 36108288 is about 330.5234667258.

The spelling of 36108288 in words is "thirty-six million, one hundred eight thousand, two hundred eighty-eight".