58368816 has 160 divisors (see below), whose sum is σ = 186416640. Its totient is φ = 17337600.

The previous prime is 58368811. The next prime is 58368839. The reversal of 58368816 is 61886385.

58368816 is a `hidden beast` number, since 583 + 68 + 8 + 1 + 6 = 666.

58368816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58368811) 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, 337306 + ... + 337478.

It is an arithmetic number, because the mean of its divisors is an integer number (1165104).

Almost surely, 2^58368816 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 58368816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93208320).

58368816 is an abundant number, since it is smaller than the sum of its proper divisors (128047824).

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

58368816 is a wasteful number, since it uses less digits than its factorization.

58368816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 58368816 is about 7639.9486909272. The cubic root of 58368816 is about 387.9064145283.

The spelling of 58368816 in words is "fifty-eight million, three hundred sixty-eight thousand, eight hundred sixteen".