5058160 has 40 divisors (see below), whose sum is σ = 12276000. Its totient is φ = 1934592.

The previous prime is 5058143. The next prime is 5058169. The reversal of 5058160 is 618505.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5058169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466 + ... + 3214.

It is an arithmetic number, because the mean of its divisors is an integer number (306900).

Almost surely, 2^5058160 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 5058160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138000).

5058160 is an abundant number, since it is smaller than the sum of its proper divisors (7217840).

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

5058160 is a wasteful number, since it uses less digits than its factorization.

5058160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 5058160 is about 2249.0353487662. The cubic root of 5058160 is about 171.6580550974.

The spelling of 5058160 in words is "five million, fifty-eight thousand, one hundred sixty".