516630 has 32 divisors (see below), whose sum is σ = 1314144. Its totient is φ = 129536.

The previous prime is 516623. The next prime is 516643. The reversal of 516630 is 36615.

516630 = 32² + 33² + ... + 116².

It is a junction number, because it is equal to n+sod(n) for n = 516597 and 516606.

It is a congruent number.

It is an unprimeable number.

516630 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, 4 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (41067).

2⁵¹⁶⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657072).

516630 is an abundant number, since it is smaller than the sum of its proper divisors (797514).

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

516630 is a wasteful number, since it uses less digits than its factorization.

516630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040.

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

The square root of 516630 is about 718.7697823365. The cubic root of 516630 is about 80.2404225719.

The spelling of 516630 in words is "five hundred sixteen thousand, six hundred thirty".