5384960 has 72 divisors (see below), whose sum is σ = 14765856. Its totient is φ = 1843200.

The previous prime is 5384947. The next prime is 5384969. The reversal of 5384960 is 694835.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 5384960.

It is not an unprimeable number, because it can be changed into a prime (5384969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8660 + ... + 9260.

Almost surely, 2^5384960 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 5384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382928).

5384960 is an abundant number, since it is smaller than the sum of its proper divisors (9380896).

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

5384960 is an equidigital number, since it uses as much as digits as its factorization.

5384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 5384960 is about 2320.5516585502. The cubic root of 5384960 is about 175.2780342249.

The spelling of 5384960 in words is "five million, three hundred eighty-four thousand, nine hundred sixty".