5644800 has 270 divisors, whose sum is σ = 23499333. Its totient is φ = 1290240.

The previous prime is 5644781. The next prime is 5644801. The reversal of 5644800 is 84465.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 112896 = 2352^2 + 336^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1680.

It is not an unprimeable number, because it can be changed into a prime (5644801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 806397 + ... + 806403.

Almost surely, 2^5644800 is an apocalyptic number.

5644800 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 5644800

5644800 is an abundant number, since it is smaller than the sum of its proper divisors (17854533).

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

5644800 is a wasteful number, since it uses less digits than its factorization.

5644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5644800 is about 2375.8787847868. The cubic root of 5644800 is about 178.0530919353.

The spelling of 5644800 in words is "five million, six hundred forty-four thousand, eight hundred".