518064 has 40 divisors (see below), whose sum is σ = 1374912. Its totient is φ = 168000.

The previous prime is 518059. The next prime is 518083. The reversal of 518064 is 460815.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 518064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1939 + ... + 2189.

2⁵¹⁸⁰⁶⁴ 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 518064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456).

518064 is an abundant number, since it is smaller than the sum of its proper divisors (856848).

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

518064 is a wasteful number, since it uses less digits than its factorization.

518064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 518064 is about 719.7666288458. The cubic root of 518064 is about 80.3145945898.

Adding to 518064 its reverse (460815), we get a palindrome (978879).

The spelling of 518064 in words is "five hundred eighteen thousand, sixty-four".