58842960 has 160 divisors (see below), whose sum is σ = 205701120. Its totient is φ = 13785600.

The previous prime is 58842941. The next prime is 58842961. The reversal of 58842960 is 6924885.

58842960 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 not an unprimeable number, because it can be changed into a prime (58842961) 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 31 ways as a sum of consecutive naturals, for example, 81481 + ... + 82199.

It is an arithmetic number, because the mean of its divisors is an integer number (1285632).

Almost surely, 2^58842960 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 58842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102850560).

58842960 is an abundant number, since it is smaller than the sum of its proper divisors (146858160).

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

58842960 is a wasteful number, since it uses less digits than its factorization.

58842960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 58842960 is about 7670.9165032609. The cubic root of 58842960 is about 388.9539357256.

The spelling of 58842960 in words is "fifty-eight million, eight hundred forty-two thousand, nine hundred sixty".