58412080 has 80 divisors (see below), whose sum is σ = 144990720. Its totient is φ = 21821184.

The previous prime is 58412071. The next prime is 58412083. The reversal of 58412080 is 8021485.

58412080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (58412083) 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 15 ways as a sum of consecutive naturals, for example, 125929 + ... + 126391.

It is an arithmetic number, because the mean of its divisors is an integer number (1812384).

Almost surely, 2^58412080 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 58412080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72495360).

58412080 is an abundant number, since it is smaller than the sum of its proper divisors (86578640).

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

58412080 is a wasteful number, since it uses less digits than its factorization.

58412080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 58412080 is about 7642.7795990726. The cubic root of 58412080 is about 388.0022318928.

It can be divided in two parts, 5841 and 2080, that added together give a square (7921 = 89²).

The spelling of 58412080 in words is "fifty-eight million, four hundred twelve thousand, eighty".