58020768 has 72 divisors (see below), whose sum is σ = 177700068. Its totient is φ = 17851392.

The previous prime is 58020761. The next prime is 58020797. The reversal of 58020768 is 86702085.

58020768 is a `hidden beast` number, since 580 + 2 + 0 + 76 + 8 = 666.

58020768 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 2 ways, for example, as 57335184 + 685584 = 7572^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (58020761) 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 11 ways as a sum of consecutive naturals, for example, 4005 + ... + 11492.

Almost surely, 2^58020768 is an apocalyptic number.

It is an amenable number.

58020768 is an abundant number, since it is smaller than the sum of its proper divisors (119679300).

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

58020768 is a wasteful number, since it uses less digits than its factorization.

58020768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15526 (or 15515 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 58020768 is about 7617.1364698291. The cubic root of 58020768 is about 387.1338599093.

The spelling of 58020768 in words is "fifty-eight million, twenty thousand, seven hundred sixty-eight".