520616160 has 360 divisors, whose sum is σ = 1965819240. Its totient is φ = 129724416.

The previous prime is 520616147. The next prime is 520616189. The reversal of 520616160 is 61616025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3745371 + ... + 3745509.

It is an arithmetic number, because the mean of its divisors is an integer number (5460609).

Almost surely, 2^520616160 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 520616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982909620).

520616160 is an abundant number, since it is smaller than the sum of its proper divisors (1445203080).

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

520616160 is a wasteful number, since it uses less digits than its factorization.

520616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 520616160 is about 22817.0147039441. The cubic root of 520616160 is about 804.4626430657.

The spelling of 520616160 in words is "five hundred twenty million, six hundred sixteen thousand, one hundred sixty".