516820 has 12 divisors (see below), whose sum is σ = 1085364. Its totient is φ = 206720.

The previous prime is 516811. The next prime is 516821. The reversal of 516820 is 28615.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 355216 = 402^2 + 596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 516791 and 516800.

It is a congruent number.

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

516820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 12901 + ... + 12940.

It is an arithmetic number, because the mean of its divisors is an integer number (90447).

2⁵¹⁶⁸²⁰ is an apocalyptic number.

It is an amenable number.

516820 is an abundant number, since it is smaller than the sum of its proper divisors (568544).

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

516820 is a wasteful number, since it uses less digits than its factorization.

516820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25850 (or 25848 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 516820 is about 718.9019404620. The cubic root of 516820 is about 80.2502579871.

It can be divided in two parts, 5 and 16820, that multiplied together give a square (84100 = 290²).

The spelling of 516820 in words is "five hundred sixteen thousand, eight hundred twenty".