56820 has 24 divisors (see below), whose sum is σ = 159264. Its totient is φ = 15136.

The previous prime is 56813. The next prime is 56821. The reversal of 56820 is 2865.

Added to its reverse (2865) it gives a triangular number (59685 = T₃₄₅).

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56821) by changing a digit.

56820 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (6636).

2⁵⁶⁸²⁰ is an apocalyptic number.

It is an amenable number.

56820 is an abundant number, since it is smaller than the sum of its proper divisors (102444).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79632).

56820 is a wasteful number, since it uses less digits than its factorization.

56820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 957 counting only the distinct ones).

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

The square root of 56820 is about 238.3694611312. The cubic root of 56820 is about 38.4444580569. Note that the first 4 decimals are identical.

Adding to 56820 its reverse (2865), we get a triangular number (59685 = T₃₄₅).

The spelling of 56820 in words is "fifty-six thousand, eight hundred twenty".