509868 has 24 divisors (see below), whose sum is σ = 1322160. Its totient is φ = 169920.

The previous prime is 509867. The next prime is 509879. The reversal of 509868 is 868905.

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

It is not an unprimeable number, because it can be changed into a prime (509863) 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, 2253 + ... + 2468.

It is an arithmetic number, because the mean of its divisors is an integer number (55090).

2⁵⁰⁹⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

509868 is an abundant number, since it is smaller than the sum of its proper divisors (812292).

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

509868 is a wasteful number, since it uses less digits than its factorization.

509868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 509868 is about 714.0504183879. The cubic root of 509868 is about 79.8888038476. Note that the first 4 decimals are identical.

The spelling of 509868 in words is "five hundred nine thousand, eight hundred sixty-eight".