50560 has 32 divisors (see below), whose sum is σ = 122400. Its totient is φ = 19968.

The previous prime is 50551. The next prime is 50581. The reversal of 50560 is 6505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

50560 is a Rhonda number in base 9.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 601 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (3825).

2⁵⁰⁵⁶⁰ 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 50560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200).

50560 is an abundant number, since it is smaller than the sum of its proper divisors (71840).

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

50560 is an equidigital number, since it uses as much as digits as its factorization.

50560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 50560 is about 224.8555091609. The cubic root of 50560 is about 36.9773418615.

50560 divided by its sum of digits (16) gives a triangular number (3160 = T₇₉).

It can be divided in two parts, 505 and 60, that added together give a palindrome (565).

The spelling of 50560 in words is "fifty thousand, five hundred sixty".