58040064 has 126 divisors (see below), whose sum is σ = 174259176. Its totient is φ = 19284480.

The previous prime is 58040039. The next prime is 58040069. The reversal of 58040064 is 46004085.

58040064 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 (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58040069) 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 13 ways as a sum of consecutive naturals, for example, 186469 + ... + 186779.

Almost surely, 2^58040064 is an apocalyptic number.

58040064 is a gapful number since it is divisible by the number (54) 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 58040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87129588).

58040064 is an abundant number, since it is smaller than the sum of its proper divisors (116219112).

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

58040064 is an frugal number, since it uses more digits than its factorization.

58040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 58040064 is about 7618.4029822529. The cubic root of 58040064 is about 387.1767715956.

The spelling of 58040064 in words is "fifty-eight million, forty thousand, sixty-four".