518868 has 72 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 141120.

The previous prime is 518867. The next prime is 518893. The reversal of 518868 is 868815.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7273 + ... + 7343.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁵¹⁸⁸⁶⁸ is an apocalyptic number.

518868 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

518868 is an abundant number, since it is smaller than the sum of its proper divisors (1053612).

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

518868 is a wasteful number, since it uses less digits than its factorization.

518868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 518868 is about 720.3249266824. The cubic root of 518868 is about 80.3561207066.

The spelling of 518868 in words is "five hundred eighteen thousand, eight hundred sixty-eight".