56120 has 32 divisors (see below), whose sum is σ = 133920. Its totient is φ = 21120.

The previous prime is 56113. The next prime is 56123. The reversal of 56120 is 2165.

It is a junction number, because it is equal to n+sod(n) for n = 56095 and 56104.

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 56120.

It is not an unprimeable number, because it can be changed into a prime (56123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2⁵⁶¹²⁰ 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 56120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

56120 is an abundant number, since it is smaller than the sum of its proper divisors (77800).

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

56120 is a wasteful number, since it uses less digits than its factorization.

56120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 56120 is about 236.8966019174. The cubic root of 56120 is about 38.2859317473.

Adding to 56120 its reverse (2165), we get a palindrome (58285).

The spelling of 56120 in words is "fifty-six thousand, one hundred twenty".