56320 has 44 divisors (see below), whose sum is σ = 147384. Its totient is φ = 20480.

The previous prime is 56311. The next prime is 56333. The reversal of 56320 is 2365.

It is a tau number, because it is divible by the number of its divisors (44).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 56294 and 56303.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 5115 + ... + 5125.

2⁵⁶³²⁰ 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 56320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73692).

56320 is an abundant number, since it is smaller than the sum of its proper divisors (91064).

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

56320 is a wasteful number, since it uses less digits than its factorization.

56320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 56320 is about 237.3183515871. The cubic root of 56320 is about 38.3313588565.

Adding to 56320 its reverse (2365), we get a palindrome (58685).

The spelling of 56320 in words is "fifty-six thousand, three hundred twenty".