58675968 has 144 divisors (see below), whose sum is σ = 187148640. Its totient is φ = 18026496.

The previous prime is 58675957. The next prime is 58675997. The reversal of 58675968 is 86957685.

58675968 is a `hidden beast` number, since 586 + 7 + 59 + 6 + 8 = 666.

58675968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 89530 + ... + 90182.

Almost surely, 2^58675968 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 58675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93574320).

58675968 is an abundant number, since it is smaller than the sum of its proper divisors (128472672).

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

58675968 is a wasteful number, since it uses less digits than its factorization.

58675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 671 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 58675968 is about 7660.0240208501. The cubic root of 58675968 is about 388.5856462091.

The spelling of 58675968 in words is "fifty-eight million, six hundred seventy-five thousand, nine hundred sixty-eight".