58506680 has 32 divisors (see below), whose sum is σ = 131889600. Its totient is φ = 23358336.

The previous prime is 58506677. The next prime is 58506683. The reversal of 58506680 is 8660585.

It is an interprime number because it is at equal distance from previous prime (58506677) and next prime (58506683).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58506683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27329 + ... + 29391.

It is an arithmetic number, because the mean of its divisors is an integer number (4121550).

Almost surely, 2^58506680 is an apocalyptic number.

It is an amenable number.

58506680 is an abundant number, since it is smaller than the sum of its proper divisors (73382920).

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

58506680 is a wasteful number, since it uses less digits than its factorization.

58506680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 58506680 is about 7648.9659431847. The cubic root of 58506680 is about 388.2115790804.

The spelling of 58506680 in words is "fifty-eight million, five hundred six thousand, six hundred eighty".