58461080 has 64 divisors (see below), whose sum is σ = 138045600. Its totient is φ = 22256640.

The previous prime is 58461061. The next prime is 58461083. The reversal of 58461080 is 8016485.

58461080 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 (58461083) 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 15 ways as a sum of consecutive naturals, for example, 70106 + ... + 70934.

Almost surely, 2^58461080 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 58461080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69022800).

58461080 is an abundant number, since it is smaller than the sum of its proper divisors (79584520).

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

58461080 is a wasteful number, since it uses less digits than its factorization.

58461080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 58461080 is about 7645.9845670783. The cubic root of 58461080 is about 388.1106957335.

The spelling of 58461080 in words is "fifty-eight million, four hundred sixty-one thousand, eighty".