36107064 has 96 divisors (see below), whose sum is σ = 115415040. Its totient is φ = 9979200.

The previous prime is 36107053. The next prime is 36107081. The reversal of 36107064 is 46070163.

36107064 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 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 23 ways as a sum of consecutive naturals, for example, 14469 + ... + 16779.

It is an arithmetic number, because the mean of its divisors is an integer number (1202240).

Almost surely, 2^36107064 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 36107064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57707520).

36107064 is an abundant number, since it is smaller than the sum of its proper divisors (79307976).

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

36107064 is a wasteful number, since it uses less digits than its factorization.

36107064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36107064 is about 6008.9153763387. The cubic root of 36107064 is about 330.5197319850.

The spelling of 36107064 in words is "thirty-six million, one hundred seven thousand, sixty-four".