520672320 has 224 divisors, whose sum is σ = 2099462400. Its totient is φ = 118996992.

The previous prime is 520672309. The next prime is 520672357. The reversal of 520672320 is 23276025.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×520672320³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 56176 + ... + 64784.

It is an arithmetic number, because the mean of its divisors is an integer number (9372600).

Almost surely, 2^520672320 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 520672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049731200).

520672320 is an abundant number, since it is smaller than the sum of its proper divisors (1578790080).

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

520672320 is a wasteful number, since it uses less digits than its factorization.

520672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8642 (or 8626 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 520672320 is about 22818.2453313133. The cubic root of 520672320 is about 804.4915684053.

The spelling of 520672320 in words is "five hundred twenty million, six hundred seventy-two thousand, three hundred twenty".