5184000 has 200 divisors, whose sum is σ = 19310148. Its totient is φ = 1382400.

The previous prime is 5183987. The next prime is 5184001. The reversal of 5184000 is 4815.

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 3504384 + 1679616 = 1872^2 + 1296^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=120.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5184001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1036798 + ... + 1036802.

Almost surely, 2^5184000 is an apocalyptic number.

5184000 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 5184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9655074).

5184000 is an abundant number, since it is smaller than the sum of its proper divisors (14126148).

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

5184000 is an frugal number, since it uses more digits than its factorization.

5184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5184000 is about 2276.8399153212. The cubic root of 5184000 is about 173.0699484369.

Multiplying 5184000 by its product of nonzero digits (160), we get a square (829440000 = 28800²).

5184000 divided by its product of nonzero digits (160) gives a square (32400 = 180²).

Adding to 5184000 its reverse (4815), we get a palindrome (5188815).

The spelling of 5184000 in words is "five million, one hundred eighty-four thousand".