516656 has 30 divisors (see below), whose sum is σ = 1166220. Its totient is φ = 221088.

The previous prime is 516653. The next prime is 516673. The reversal of 516656 is 656615.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 9 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516656.

It is not an unprimeable number, because it can be changed into a prime (516653) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 455 + ... + 1113.

It is an arithmetic number, because the mean of its divisors is an integer number (38874).

2⁵¹⁶⁶⁵⁶ is an apocalyptic number.

516656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583110).

516656 is an abundant number, since it is smaller than the sum of its proper divisors (649564).

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

516656 is a wasteful number, since it uses less digits than its factorization.

516656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 668 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

The square root of 516656 is about 718.7878685676. The cubic root of 516656 is about 80.2417686132.

It can be divided in two parts, 5 and 16656, that added together give a palindrome (16661).

The spelling of 516656 in words is "five hundred sixteen thousand, six hundred fifty-six".