516660 has 48 divisors (see below), whose sum is σ = 1478400. Its totient is φ = 134784.

The previous prime is 516653. The next prime is 516673. The reversal of 516660 is 66615.

It is a self number, because there is not a number n which added to its sum of digits gives 516660.

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 516660.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4686 + ... + 4794.

It is an arithmetic number, because the mean of its divisors is an integer number (30800).

2⁵¹⁶⁶⁶⁰ 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 516660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739200).

516660 is an abundant number, since it is smaller than the sum of its proper divisors (961740).

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

516660 is a wasteful number, since it uses less digits than its factorization.

516660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 516660 is about 718.7906510243. The cubic root of 516660 is about 80.2419756925.

Subtracting from 516660 its sum of digits (24), we obtain a triangular number (516636 = T₁₀₁₆).

It can be divided in two parts, 516 and 660, that added together give a triangular number (1176 = T₄₈).

The spelling of 516660 in words is "five hundred sixteen thousand, six hundred sixty".