36112608 has 144 divisors (see below), whose sum is σ = 122668560. Its totient is φ = 10305792.

The previous prime is 36112603. The next prime is 36112619. The reversal of 36112608 is 80621163.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36112603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41910 + ... + 42762.

It is an arithmetic number, because the mean of its divisors is an integer number (851865).

Almost surely, 2^36112608 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 36112608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61334280).

36112608 is an abundant number, since it is smaller than the sum of its proper divisors (86555952).

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

36112608 is a wasteful number, since it uses less digits than its factorization.

36112608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 36112608 is about 6009.3766731667. The cubic root of 36112608 is about 330.5366474895.

The spelling of 36112608 in words is "thirty-six million, one hundred twelve thousand, six hundred eight".