510864 has 40 divisors (see below), whose sum is σ = 1368960. Its totient is φ = 163968.

The previous prime is 510847. The next prime is 510889. The reversal of 510864 is 468015.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1209 + ... + 1575.

It is an arithmetic number, because the mean of its divisors is an integer number (34224).

2⁵¹⁰⁸⁶⁴ 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 510864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684480).

510864 is an abundant number, since it is smaller than the sum of its proper divisors (858096).

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

510864 is a wasteful number, since it uses less digits than its factorization.

510864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 510864 is about 714.7475078655. The cubic root of 510864 is about 79.9407895206.

Adding to 510864 its reverse (468015), we get a palindrome (978879).

Subtracting from 510864 its reverse (468015), we obtain a square (42849 = 207²).

The spelling of 510864 in words is "five hundred ten thousand, eight hundred sixty-four".