58045968 has 30 divisors (see below), whose sum is σ = 162448494. Its totient is φ = 19348608.

The previous prime is 58045963. The next prime is 58045993. The reversal of 58045968 is 86954085.

58045968 is a `hidden beast` number, since 58 + 0 + 4 + 596 + 8 = 666.

58045968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 48608784 + 9437184 = 6972^2 + 3072^2 .

It is not an unprimeable number, because it can be changed into a prime (58045963) 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 5 ways as a sum of consecutive naturals, for example, 201405 + ... + 201692.

Almost surely, 2^58045968 is an apocalyptic number.

It is an amenable number.

58045968 is an abundant number, since it is smaller than the sum of its proper divisors (104402526).

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

58045968 is a wasteful number, since it uses less digits than its factorization.

58045968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403111 (or 403102 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 58045968 is about 7618.7904551838. The cubic root of 58045968 is about 387.1898993905.

The spelling of 58045968 in words is "fifty-eight million, forty-five thousand, nine hundred sixty-eight".