50320 has 40 divisors (see below), whose sum is σ = 127224. Its totient is φ = 18432.

The previous prime is 50311. The next prime is 50321. The reversal of 50320 is 2305.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 29584 = 144^2 + 172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 50297 and 50306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50321) by changing a digit.

50320 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1342 + ... + 1378.

2⁵⁰³²⁰ 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 50320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63612).

50320 is an abundant number, since it is smaller than the sum of its proper divisors (76904).

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

50320 is a wasteful number, since it uses less digits than its factorization.

50320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 50320 is about 224.3211982850. The cubic root of 50320 is about 36.9187405876.

Adding to 50320 its reverse (2305), we get a palindrome (52625).

The spelling of 50320 in words is "fifty thousand, three hundred twenty".