516992 has 32 divisors (see below), whose sum is σ = 1179120. Its totient is φ = 221184.

The previous prime is 516991. The next prime is 517003. The reversal of 516992 is 299615.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

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 516992.

It is not an unprimeable number, because it can be changed into a prime (516991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 608 + ... + 1184.

2⁵¹⁶⁹⁹² 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 516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589560).

516992 is an abundant number, since it is smaller than the sum of its proper divisors (662128).

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

516992 is an equidigital number, since it uses as much as digits as its factorization.

516992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 586 counting only the distinct ones).

The product of its digits is 4860, while the sum is 32.

The square root of 516992 is about 719.0215573959. The cubic root of 516992 is about 80.2591595475.

The spelling of 516992 in words is "five hundred sixteen thousand, nine hundred ninety-two".