516048 has 40 divisors (see below), whose sum is σ = 1437408. Its totient is φ = 158592.

The previous prime is 516023. The next prime is 516049. The reversal of 516048 is 840615.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 516048.

It is not an unprimeable number, because it can be changed into a prime (516049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 1037.

2⁵¹⁶⁰⁴⁸ 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 516048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718704).

516048 is an abundant number, since it is smaller than the sum of its proper divisors (921360).

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

516048 is a wasteful number, since it uses less digits than its factorization.

516048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 516048 is about 718.3648098285. The cubic root of 516048 is about 80.2102801274.

The spelling of 516048 in words is "five hundred sixteen thousand, forty-eight".