518205960 has 96 divisors (see below), whose sum is σ = 1687622040. Its totient is φ = 137905152.

The previous prime is 518205949. The next prime is 518205977. The reversal of 518205960 is 69502815.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 225180036 + 293025924 = 15006^2 + 17118^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 220954 + ... + 223286.

Almost surely, 2^518205960 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 518205960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843811020).

518205960 is an abundant number, since it is smaller than the sum of its proper divisors (1169416080).

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

518205960 is a wasteful number, since it uses less digits than its factorization.

518205960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 518205960 is about 22764.1375852458. The cubic root of 518205960 is about 803.2192986017.

The spelling of 518205960 in words is "five hundred eighteen million, two hundred five thousand, nine hundred sixty".