560820 has 48 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 137856.

The previous prime is 560803. The next prime is 560827. The reversal of 560820 is 28065.

It is a happy number.

It is an Ulam number.

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 560820.

It is not an unprimeable number, because it can be changed into a prime (560827) by changing a digit.

560820 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 15 ways as a sum of consecutive naturals, for example, 421 + ... + 1139.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁵⁶⁰⁸²⁰ 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 560820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

560820 is an abundant number, since it is smaller than the sum of its proper divisors (1132620).

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

560820 is a wasteful number, since it uses less digits than its factorization.

560820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 560820 is about 748.8791624822. The cubic root of 560820 is about 82.4659179699.

Adding to 560820 its reverse (28065), we get a palindrome (588885).

The spelling of 560820 in words is "five hundred sixty thousand, eight hundred twenty".