5487200 has 72 divisors (see below), whose sum is σ = 14139720. Its totient is φ = 2079360.

The previous prime is 5487173. The next prime is 5487221. The reversal of 5487200 is 27845.

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 is a self number, because there is not a number n which added to its sum of digits gives 5487200.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 288791 + ... + 288809.

It is an arithmetic number, because the mean of its divisors is an integer number (196385).

Almost surely, 2^5487200 is an apocalyptic number.

5487200 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 5487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069860).

5487200 is an abundant number, since it is smaller than the sum of its proper divisors (8652520).

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

5487200 is an equidigital number, since it uses as much as digits as its factorization.

5487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 5487200 is about 2342.4773211282. The cubic root of 5487200 is about 176.3803756773.

The spelling of 5487200 in words is "five million, four hundred eighty-seven thousand, two hundred".