58104144 has 120 divisors (see below), whose sum is σ = 189184320. Its totient is φ = 16303104.

The previous prime is 58104107. The next prime is 58104149. The reversal of 58104144 is 44140185.

It is a happy number.

58104144 is a `hidden beast` number, since 581 + 0 + 41 + 44 = 666.

58104144 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 (58104149) 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 23 ways as a sum of consecutive naturals, for example, 58984 + ... + 59960.

It is an arithmetic number, because the mean of its divisors is an integer number (1576536).

Almost surely, 2^58104144 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 58104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94592160).

58104144 is an abundant number, since it is smaller than the sum of its proper divisors (131080176).

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

58104144 is a wasteful number, since it uses less digits than its factorization.

58104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 58104144 is about 7622.6074279081. The cubic root of 58104144 is about 387.3192086221.

The spelling of 58104144 in words is "fifty-eight million, one hundred four thousand, one hundred forty-four".