516816 has 60 divisors (see below), whose sum is σ = 1500772. Its totient is φ = 165888.

The previous prime is 516811. The next prime is 516821. The reversal of 516816 is 618615.

516816 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (516811) and next prime (516821).

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 156816 = 600^2 + 396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 516816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5280 + ... + 5376.

2⁵¹⁶⁸¹⁶ 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 516816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750386).

516816 is an abundant number, since it is smaller than the sum of its proper divisors (983956).

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

516816 is a wasteful number, since it uses less digits than its factorization.

516816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 516816 is about 718.8991584360. The cubic root of 516816 is about 80.2500509506.

It can be divided in two parts, 5168 and 16, that added together give a square (5184 = 72²).

The spelling of 516816 in words is "five hundred sixteen thousand, eight hundred sixteen".