5684800 has 168 divisors, whose sum is σ = 17007840. Its totient is φ = 1843200.

The previous prime is 5684771. The next prime is 5684837. The reversal of 5684800 is 84865.

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, 299191 + ... + 299209.

Almost surely, 2^5684800 is an apocalyptic number.

5684800 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 5684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503920).

5684800 is an abundant number, since it is smaller than the sum of its proper divisors (11323040).

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

5684800 is a wasteful number, since it uses less digits than its factorization.

5684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5684800 is about 2384.2818625322. The cubic root of 5684800 is about 178.4726737770.

The spelling of 5684800 in words is "five million, six hundred eighty-four thousand, eight hundred".