58106048 has 112 divisors (see below), whose sum is σ = 154984704. Its totient is φ = 20874240.

The previous prime is 58106039. The next prime is 58106071. The reversal of 58106048 is 84060185.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×58106048³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63611 + ... + 64517.

It is an arithmetic number, because the mean of its divisors is an integer number (1383792).

Almost surely, 2^58106048 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 58106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77492352).

58106048 is an abundant number, since it is smaller than the sum of its proper divisors (96878656).

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

58106048 is a wasteful number, since it uses less digits than its factorization.

58106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 58106048 is about 7622.7323185325. The cubic root of 58106048 is about 387.3234392310.

The spelling of 58106048 in words is "fifty-eight million, one hundred six thousand, forty-eight".