520071648 has 96 divisors (see below), whose sum is σ = 1444262400. Its totient is φ = 163408896.

The previous prime is 520071641. The next prime is 520071661. The reversal of 520071648 is 846170025.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520071641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435340 + ... + 436532.

It is an arithmetic number, because the mean of its divisors is an integer number (15044400).

Almost surely, 2^520071648 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 520071648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722131200).

520071648 is an abundant number, since it is smaller than the sum of its proper divisors (924190752).

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

520071648 is a wasteful number, since it uses less digits than its factorization.

520071648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 520071648 is about 22805.0794341962. The cubic root of 520071648 is about 804.1820829652.

The spelling of 520071648 in words is "five hundred twenty million, seventy-one thousand, six hundred forty-eight".