516344 has 32 divisors (see below), whose sum is σ = 1056000. Its totient is φ = 235872.

The previous prime is 516323. The next prime is 516349. The reversal of 516344 is 443615.

It is a happy number.

It is a super-2 number, since 2×516344² = 533222252672, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516344.

It is not an unprimeable number, because it can be changed into a prime (516349) by changing a digit.

516344 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 7 ways as a sum of consecutive naturals, for example, 6497 + ... + 6575.

It is an arithmetic number, because the mean of its divisors is an integer number (33000).

2⁵¹⁶³⁴⁴ is an apocalyptic number.

It is an amenable number.

516344 is an abundant number, since it is smaller than the sum of its proper divisors (539656).

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

516344 is a wasteful number, since it uses less digits than its factorization.

516344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 516344 is about 718.5708037487. The cubic root of 516344 is about 80.2256131358.

Adding to 516344 its reverse (443615), we get a palindrome (959959).

The spelling of 516344 in words is "five hundred sixteen thousand, three hundred forty-four".