58069968 has 80 divisors (see below), whose sum is σ = 165316800. Its totient is φ = 17418240.

The previous prime is 58069961. The next prime is 58070017. The reversal of 58069968 is 86996085.

58069968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 58069968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58069961) 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, 57048 + ... + 58056.

It is an arithmetic number, because the mean of its divisors is an integer number (2066460).

Almost surely, 2^58069968 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 58069968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82658400).

58069968 is an abundant number, since it is smaller than the sum of its proper divisors (107246832).

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

58069968 is a wasteful number, since it uses less digits than its factorization.

58069968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 58069968 is about 7620.3653455723. The cubic root of 58069968 is about 387.2432552478.

The spelling of 58069968 in words is "fifty-eight million, sixty-nine thousand, nine hundred sixty-eight".