5600 has 36 divisors (see below), whose sum is σ = 15624. Its totient is φ = 1920.

The previous prime is 5591. The next prime is 5623. The reversal of 5600 is 65.

5600 = T₂₁ + T₂₂ + ... + T₃₄.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 797 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (434).

2⁵⁶⁰⁰ is an apocalyptic number.

5600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812).

5600 is an abundant number, since it is smaller than the sum of its proper divisors (10024).

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

5600 is a wasteful number, since it uses less digits than its factorization.

5600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 5600 is about 74.8331477355. The cubic root of 5600 is about 17.7580800349.

Adding to 5600 its reverse (65), we get a palindrome (5665).

The spelling of 5600 in words is "five thousand, six hundred".