58130820 has 216 divisors, whose sum is σ = 206525592. Its totient is φ = 13178880.

The previous prime is 58130791. The next prime is 58130827. The reversal of 58130820 is 2803185.

It is a happy number.

58130820 is a `hidden beast` number, since 581 + 3 + 0 + 82 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7322436 + 50808384 = 2706^2 + 7128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58130827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 370182 + ... + 370338.

It is an arithmetic number, because the mean of its divisors is an integer number (956137).

Almost surely, 2^58130820 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 58130820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103262796).

58130820 is an abundant number, since it is smaller than the sum of its proper divisors (148394772).

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

58130820 is a wasteful number, since it uses less digits than its factorization.

58130820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58130820 is about 7624.3570220708. The cubic root of 58130820 is about 387.3784731640.

The spelling of 58130820 in words is "fifty-eight million, one hundred thirty thousand, eight hundred twenty".