5184960 has 112 divisors (see below), whose sum is σ = 17995392. Its totient is φ = 1254400.

The previous prime is 5184953. The next prime is 5184961. The reversal of 5184960 is 694815.

5184960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5184961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10315 + ... + 10805.

Almost surely, 2^5184960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8997696).

5184960 is an abundant number, since it is smaller than the sum of its proper divisors (12810432).

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

5184960 is a wasteful number, since it uses less digits than its factorization.

5184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5184960 is about 2277.0507240727. The cubic root of 5184960 is about 173.0806311076.

The spelling of 5184960 in words is "five million, one hundred eighty-four thousand, nine hundred sixty".