516792 has 32 divisors (see below), whose sum is σ = 1316880. Its totient is φ = 168960.

The previous prime is 516757. The next prime is 516793. The reversal of 516792 is 297615.

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 516792.

It is not an unprimeable number, because it can be changed into a prime (516793) by changing a digit.

516792 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 7 ways as a sum of consecutive naturals, for example, 1288 + ... + 1640.

2⁵¹⁶⁷⁹² 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 516792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658440).

516792 is an abundant number, since it is smaller than the sum of its proper divisors (800088).

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

516792 is a wasteful number, since it uses less digits than its factorization.

516792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 516792 is about 718.8824660541. The cubic root of 516792 is about 80.2488087089.

It can be divided in two parts, 51679 and 2, that added together give a triangular number (51681 = T₃₂₁).

The spelling of 516792 in words is "five hundred sixteen thousand, seven hundred ninety-two".