516896 has 24 divisors (see below), whose sum is σ = 1054620. Its totient is φ = 249088.

The previous prime is 516883. The next prime is 516907. The reversal of 516896 is 698615.

It can be written as a sum of positive squares in 2 ways, for example, as 490000 + 26896 = 700^2 + 164^2 .

It is a nialpdrome in base 14.

It is an unprimeable number.

516896 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 3 ways as a sum of consecutive naturals, for example, 650 + ... + 1206.

2⁵¹⁶⁸⁹⁶ 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 516896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527310).

516896 is an abundant number, since it is smaller than the sum of its proper divisors (537724).

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

516896 is a wasteful number, since it uses less digits than its factorization.

516896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 588 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 516896 is about 718.9547969101. The cubic root of 516896 is about 80.2541914782.

The spelling of 516896 in words is "five hundred sixteen thousand, eight hundred ninety-six".