58968168 has 96 divisors (see below), whose sum is σ = 175815360. Its totient is φ = 16423680.

The previous prime is 58968163. The next prime is 58968181. The reversal of 58968168 is 86186985.

It is a self number, because there is not a number n which added to its sum of digits gives 58968168.

It is not an unprimeable number, because it can be changed into a prime (58968163) 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 23 ways as a sum of consecutive naturals, for example, 47605 + ... + 48827.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^58968168 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 58968168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

58968168 is an abundant number, since it is smaller than the sum of its proper divisors (116847192).

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

58968168 is a wasteful number, since it uses less digits than its factorization.

58968168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1276 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The square root of 58968168 is about 7679.0733816002. The cubic root of 58968168 is about 389.2296166410.

The spelling of 58968168 in words is "fifty-eight million, nine hundred sixty-eight thousand, one hundred sixty-eight".