58164064 has 48 divisors (see below), whose sum is σ = 132699168. Its totient is φ = 24579072.

The previous prime is 58164061. The next prime is 58164077. The reversal of 58164064 is 46046185.

58164064 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 (58164061) 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 7 ways as a sum of consecutive naturals, for example, 14574 + ... + 18130.

It is an arithmetic number, because the mean of its divisors is an integer number (2764566).

Almost surely, 2^58164064 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 58164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66349584).

58164064 is an abundant number, since it is smaller than the sum of its proper divisors (74535104).

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

58164064 is a wasteful number, since it uses less digits than its factorization.

58164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 58164064 is about 7626.5368287316. The cubic root of 58164064 is about 387.4523040844.

The spelling of 58164064 in words is "fifty-eight million, one hundred sixty-four thousand, sixty-four".