58085856 has 192 divisors, whose sum is σ = 183859200. Its totient is φ = 17791488.

The previous prime is 58085849. The next prime is 58085857. The reversal of 58085856 is 65858085.

58085856 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 (58085857) 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 31 ways as a sum of consecutive naturals, for example, 735225 + ... + 735303.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 2^58085856 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 58085856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

58085856 is an abundant number, since it is smaller than the sum of its proper divisors (125773344).

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

58085856 is a wasteful number, since it uses less digits than its factorization.

58085856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 58085856 is about 7621.4077439801. The cubic root of 58085856 is about 387.2785687384.

It can be divided in two parts, 5808 and 5856, that added together give a square (11664 = 108²).

The spelling of 58085856 in words is "fifty-eight million, eighty-five thousand, eight hundred fifty-six".