39086064 has 80 divisors (see below), whose sum is σ = 113678240. Its totient is φ = 13017024.

The previous prime is 39086057. The next prime is 39086081. The reversal of 39086064 is 46068093.

39086064 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 15 ways as a sum of consecutive naturals, for example, 34434 + ... + 35550.

It is an arithmetic number, because the mean of its divisors is an integer number (1420978).

Almost surely, 2^39086064 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 39086064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56839120).

39086064 is an abundant number, since it is smaller than the sum of its proper divisors (74592176).

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

39086064 is an equidigital number, since it uses as much as digits as its factorization.

39086064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 39086064 is about 6251.8848357915. The cubic root of 39086064 is about 339.3704150658.

The spelling of 39086064 in words is "thirty-nine million, eighty-six thousand, sixty-four".