58061568 has 144 divisors (see below), whose sum is σ = 170714880. Its totient is φ = 17436672.

The previous prime is 58061561. The next prime is 58061573. The reversal of 58061568 is 86516085.

58061568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58061568² = 6742291357237248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58061561) 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, 335530 + ... + 335702.

It is an arithmetic number, because the mean of its divisors is an integer number (1185520).

Almost surely, 2^58061568 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 58061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85357440).

58061568 is an abundant number, since it is smaller than the sum of its proper divisors (112653312).

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

58061568 is a wasteful number, since it uses less digits than its factorization.

58061568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 58061568 is about 7619.8141709624. The cubic root of 58061568 is about 387.2245823703.

The spelling of 58061568 in words is "fifty-eight million, sixty-one thousand, five hundred sixty-eight".