516906 has 36 divisors (see below), whose sum is σ = 1232322. Its totient is φ = 155664.

The previous prime is 516883. The next prime is 516907. The reversal of 516906 is 609615.

It can be written as a sum of positive squares in only one way, i.e., 497025 + 19881 = 705^2 + 141^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 516906.

It is not an unprimeable number, because it can be changed into a prime (516907) by changing a digit.

516906 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 17 ways as a sum of consecutive naturals, for example, 10975 + ... + 11021.

2⁵¹⁶⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616161).

516906 is an abundant number, since it is smaller than the sum of its proper divisors (715416).

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

516906 is a wasteful number, since it uses less digits than its factorization.

516906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 516906 is about 718.9617514166. The cubic root of 516906 is about 80.2547090141.

The spelling of 516906 in words is "five hundred sixteen thousand, nine hundred six".