58671168 has 56 divisors (see below), whose sum is σ = 155813760. Its totient is φ = 19484160.

The previous prime is 58671161. The next prime is 58671187. The reversal of 58671168 is 86117685.

It is not an unprimeable number, because it can be changed into a prime (58671161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 82398 + ... + 83106.

Almost surely, 2^58671168 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 58671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77906880).

58671168 is an abundant number, since it is smaller than the sum of its proper divisors (97142592).

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

58671168 is a wasteful number, since it uses less digits than its factorization.

58671168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1145 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 58671168 is about 7659.7106994977. The cubic root of 58671168 is about 388.5750498097.

The spelling of 58671168 in words is "fifty-eight million, six hundred seventy-one thousand, one hundred sixty-eight".