58384920 has 96 divisors (see below), whose sum is σ = 192573360. Its totient is φ = 14150400.

The previous prime is 58384897. The next prime is 58384973. The reversal of 58384920 is 2948385.

It is a happy number.

58384920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12510 + ... + 16530.

Almost surely, 2^58384920 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 58384920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96286680).

58384920 is an abundant number, since it is smaller than the sum of its proper divisors (134188440).

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

58384920 is a wasteful number, since it uses less digits than its factorization.

58384920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 58384920 is about 7641.0025520216. The cubic root of 58384920 is about 387.9420858045.

Subtracting from 58384920 its sum of digits (39), we obtain a square (58384881 = 7641²).

The spelling of 58384920 in words is "fifty-eight million, three hundred eighty-four thousand, nine hundred twenty".