58201968 has 80 divisors (see below), whose sum is σ = 165560832. Its totient is φ = 17617600.

The previous prime is 58201961. The next prime is 58202051. The reversal of 58201968 is 86910285.

58201968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58201961) 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, 63433 + ... + 64343.

Almost surely, 2^58201968 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 58201968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82780416).

58201968 is an abundant number, since it is smaller than the sum of its proper divisors (107358864).

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

58201968 is a wasteful number, since it uses less digits than its factorization.

58201968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 58201968 is about 7629.0214313502. The cubic root of 58201968 is about 387.5364499878.

The spelling of 58201968 in words is "fifty-eight million, two hundred one thousand, nine hundred sixty-eight".