5684000 has 144 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 1881600.

The previous prime is 5683987. The next prime is 5684011. The reversal of 5684000 is 4865.

5684000 = T₂₉₅ + T₂₉₆ + ... + T₃₉₀.

It can be written as a sum of positive squares in 4 ways, for example, as 1731856 + 3952144 = 1316^2 + 1988^2 .

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 195986 + ... + 196014.

Almost surely, 2^5684000 is an apocalyptic number.

5684000 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 5684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

5684000 is an abundant number, since it is smaller than the sum of its proper divisors (11121880).

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

5684000 is a wasteful number, since it uses less digits than its factorization.

5684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5684000 is about 2384.1140912297. The cubic root of 5684000 is about 178.4643014603.

Adding to 5684000 its reverse (4865), we get a palindrome (5688865).

The spelling of 5684000 in words is "five million, six hundred eighty-four thousand".