58316160 has 128 divisors (see below), whose sum is σ = 212486400. Its totient is φ = 13326336.

The previous prime is 58316147. The next prime is 58316161. The reversal of 58316160 is 6161385.

58316160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58316161) 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, 11271 + ... + 15609.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^58316160 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 58316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

58316160 is an abundant number, since it is smaller than the sum of its proper divisors (154170240).

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

58316160 is a wasteful number, since it uses less digits than its factorization.

58316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 58316160 is about 7636.5018169316. The cubic root of 58316160 is about 387.7897326720.

The spelling of 58316160 in words is "fifty-eight million, three hundred sixteen thousand, one hundred sixty".