509768 has 16 divisors (see below), whose sum is σ = 1092480. Its totient is φ = 218448.

The previous prime is 509767. The next prime is 509783. The reversal of 509768 is 867905.

It is not an unprimeable number, because it can be changed into a prime (509767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4496 + ... + 4607.

It is an arithmetic number, because the mean of its divisors is an integer number (68280).

2⁵⁰⁹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

509768 is an abundant number, since it is smaller than the sum of its proper divisors (582712).

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

509768 is a wasteful number, since it uses less digits than its factorization.

509768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9116 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 509768 is about 713.9803918876. The cubic root of 509768 is about 79.8835806639.

The spelling of 509768 in words is "five hundred nine thousand, seven hundred sixty-eight".