516648 has 64 divisors (see below), whose sum is σ = 1497600. Its totient is φ = 146880.

The previous prime is 516643. The next prime is 516653. The reversal of 516648 is 846615.

It is an interprime number because it is at equal distance from previous prime (516643) and next prime (516653).

It is an Ulam number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (516643) by changing a digit.

516648 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 15 ways as a sum of consecutive naturals, for example, 4965 + ... + 5067.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2⁵¹⁶⁶⁴⁸ 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 516648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748800).

516648 is an abundant number, since it is smaller than the sum of its proper divisors (980952).

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

516648 is a wasteful number, since it uses less digits than its factorization.

516648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 516648 is about 718.7823036219. The cubic root of 516648 is about 80.2413544514.

It can be divided in two parts, 5 and 16648, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 516648 in words is "five hundred sixteen thousand, six hundred forty-eight".