58509920 has 144 divisors (see below), whose sum is σ = 170644320. Its totient is φ = 18837504.

The previous prime is 58509901. The next prime is 58509923. The reversal of 58509920 is 2990585.

58509920 = T₂₈₁ + T₂₈₂ + ... + T₇₁₉.

It is a happy number.

58509920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58509923) 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 23 ways as a sum of consecutive naturals, for example, 133061 + ... + 133499.

It is an arithmetic number, because the mean of its divisors is an integer number (1185030).

Almost surely, 2^58509920 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 58509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85322160).

58509920 is an abundant number, since it is smaller than the sum of its proper divisors (112134400).

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

58509920 is a wasteful number, since it uses less digits than its factorization.

58509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 58509920 is about 7649.1777335868. The cubic root of 58509920 is about 388.2187451128.

The spelling of 58509920 in words is "fifty-eight million, five hundred nine thousand, nine hundred twenty".