5856 has 24 divisors (see below), whose sum is σ = 15624. Its totient is φ = 1920.

The previous prime is 5851. The next prime is 5857. The reversal of 5856 is 6585.

5856 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

5856 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5851) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66 + ... + 126.

It is an arithmetic number, because the mean of its divisors is an integer number (651).

2⁵⁸⁵⁶ 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 5856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812).

5856 is an abundant number, since it is smaller than the sum of its proper divisors (9768).

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

5856 is a wasteful number, since it uses less digits than its factorization.

5856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 66 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 5856 is about 76.5245058788. The cubic root of 5856 is about 18.0246575651.

Subtracting from 5856 its sum of digits (24), we obtain a cube (5832 = 18³).

Adding to 5856 its product of digits (1200), we get a square (7056 = 84²).

Subtracting from 5856 its product of digits (1200), we obtain a triangular number (4656 = T₉₆).

Subtracting 5856 from its reverse (6585), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 5 and 856, that added together give a triangular number (861 = T₄₁).

The spelling of 5856 in words is "five thousand, eight hundred fifty-six".