50160 has 80 divisors (see below), whose sum is σ = 178560. Its totient is φ = 11520.

The previous prime is 50159. The next prime is 50177. The reversal of 50160 is 6105.

50160 = 23² + 24² + ... + 54².

50160 is digitally balanced in base 2, 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 50160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2631 + ... + 2649.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

2⁵⁰¹⁶⁰ 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 50160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

50160 is an abundant number, since it is smaller than the sum of its proper divisors (128400).

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

50160 is a wasteful number, since it uses less digits than its factorization.

50160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 50160 is about 223.9642828667. The cubic root of 50160 is about 36.8795694807.

Adding to 50160 its reverse (6105), we get a palindrome (56265).

It can be divided in two parts, 501 and 60, that added together give a triangular number (561 = T₃₃).

The spelling of 50160 in words is "fifty thousand, one hundred sixty".