518112 has 72 divisors (see below), whose sum is σ = 1690416. Its totient is φ = 147456.

The previous prime is 518101. The next prime is 518113. The reversal of 518112 is 211815.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 518112.

It is not an unprimeable number, because it can be changed into a prime (518113) by changing a digit.

518112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1888 + ... + 2144.

It is an arithmetic number, because the mean of its divisors is an integer number (23478).

2⁵¹⁸¹¹² 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 518112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845208).

518112 is an abundant number, since it is smaller than the sum of its proper divisors (1172304).

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

518112 is a wasteful number, since it uses less digits than its factorization.

518112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 518112 is about 719.7999722145. The cubic root of 518112 is about 80.3170749664.

Adding to 518112 its reverse (211815), we get a palindrome (729927).

It can be divided in two parts, 518 and 112, that added together give a triangular number (630 = T₃₅).

The spelling of 518112 in words is "five hundred eighteen thousand, one hundred twelve".