516824 has 32 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 201120.

The previous prime is 516821. The next prime is 516829. The reversal of 516824 is 428615.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 516793 and 516802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁵¹⁶⁸²⁴ 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 516824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

516824 is an abundant number, since it is smaller than the sum of its proper divisors (692776).

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

516824 is a wasteful number, since it uses less digits than its factorization.

516824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 516824 is about 718.9047224772. The cubic root of 516824 is about 80.2504650226.

Subtracting from 516824 its reverse (428615), we obtain a square (88209 = 297²).

The spelling of 516824 in words is "five hundred sixteen thousand, eight hundred twenty-four".