520128 has 112 divisors (see below), whose sum is σ = 1788160. Its totient is φ = 145152.

The previous prime is 520123. The next prime is 520129. The reversal of 520128 is 821025.

520128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 520128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520123) by changing a digit.

520128 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, 12075 + ... + 12117.

2⁵²⁰¹²⁸ 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 520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894080).

520128 is an abundant number, since it is smaller than the sum of its proper divisors (1268032).

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

520128 is a wasteful number, since it uses less digits than its factorization.

520128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 520128 is about 721.1990016632. The cubic root of 520128 is about 80.4211127445.

The spelling of 520128 in words is "five hundred twenty thousand, one hundred twenty-eight".