50820 has 72 divisors (see below), whose sum is σ = 178752. Its totient is φ = 10560.

The previous prime is 50789. The next prime is 50821. The reversal of 50820 is 2805.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 50820.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 50820.

It is not an unprimeable number, because it can be changed into a prime (50821) by changing a digit.

50820 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 23 ways as a sum of consecutive naturals, for example, 4615 + ... + 4625.

2⁵⁰⁸²⁰ 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 50820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376).

50820 is an abundant number, since it is smaller than the sum of its proper divisors (127932).

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

50820 is a wasteful number, since it uses less digits than its factorization.

50820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 50820 is about 225.4329168511. The cubic root of 50820 is about 37.0406176785.

Subtracting from 50820 its sum of digits (15), we obtain a palindrome (50805).

It can be divided in two parts, 508 and 20, that added together give a triangular number (528 = T₃₂).

The spelling of 50820 in words is "fifty thousand, eight hundred twenty".