518016 has 64 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 161280.

The previous prime is 517999. The next prime is 518017. The reversal of 518016 is 610815.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 517983 and 518001.

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 518016.

It is not an unprimeable number, because it can be changed into a prime (518017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7261 + ... + 7331.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2⁵¹⁸⁰¹⁶ 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 518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

518016 is an abundant number, since it is smaller than the sum of its proper divisors (950784).

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

518016 is a wasteful number, since it uses less digits than its factorization.

518016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 518016 is about 719.7332839323. The cubic root of 518016 is about 80.3121140599.

The spelling of 518016 in words is "five hundred eighteen thousand, sixteen".