58138020 has 192 divisors, whose sum is σ = 196116480. Its totient is φ = 14256000.

The previous prime is 58138009. The next prime is 58138033. The reversal of 58138020 is 2083185.

It is a happy number.

58138020 is a `hidden beast` number, since 581 + 3 + 80 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384945 + ... + 385095.

It is an arithmetic number, because the mean of its divisors is an integer number (1021440).

Almost surely, 2^58138020 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 58138020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98058240).

58138020 is an abundant number, since it is smaller than the sum of its proper divisors (137978460).

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

58138020 is a wasteful number, since it uses less digits than its factorization.

58138020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

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

The square root of 58138020 is about 7624.8291784144. The cubic root of 58138020 is about 387.3944658845.

The spelling of 58138020 in words is "fifty-eight million, one hundred thirty-eight thousand, twenty".