516768 has 48 divisors (see below), whose sum is σ = 1552320. Its totient is φ = 147456.

The previous prime is 516757. The next prime is 516793. The reversal of 516768 is 867615.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

2⁵¹⁶⁷⁶⁸ 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 516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776160).

516768 is an abundant number, since it is smaller than the sum of its proper divisors (1035552).

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

516768 is a wasteful number, since it uses less digits than its factorization.

516768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 516768 is about 718.8657732846. The cubic root of 516768 is about 80.2475664289.

The spelling of 516768 in words is "five hundred sixteen thousand, seven hundred sixty-eight".