516306 has 32 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 139536.

The previous prime is 516293. The next prime is 516319. The reversal of 516306 is 603615.

It is an interprime number because it is at equal distance from previous prime (516293) and next prime (516319).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

516306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2⁵¹⁶³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

516306 is an abundant number, since it is smaller than the sum of its proper divisors (727854).

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

516306 is a wasteful number, since it uses less digits than its factorization.

516306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 516306 is about 718.5443618873. The cubic root of 516306 is about 80.2236450369.

The spelling of 516306 in words is "five hundred sixteen thousand, three hundred six".