36138608 has 80 divisors (see below), whose sum is σ = 81959040. Its totient is φ = 15264000.

The previous prime is 36138607. The next prime is 36138659. The reversal of 36138608 is 80683163.

It is a happy number.

36138608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36138607) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 337691 + ... + 337797.

It is an arithmetic number, because the mean of its divisors is an integer number (1024488).

Almost surely, 2^36138608 is an apocalyptic number.

36138608 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 36138608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520).

36138608 is an abundant number, since it is smaller than the sum of its proper divisors (45820432).

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

36138608 is a wasteful number, since it uses less digits than its factorization.

36138608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 36138608 is about 6011.5395698606. The cubic root of 36138608 is about 330.6159539670.

It can be divided in two parts, 3613 and 8608, that added together give a palindrome (12221).

The spelling of 36138608 in words is "thirty-six million, one hundred thirty-eight thousand, six hundred eight".