5286944 has 48 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 2392320.

The previous prime is 5286943. The next prime is 5286947. The reversal of 5286944 is 4496825.

It is a super-3 number, since 3×5286944³ (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5286898 and 5286907.

It is not an unprimeable number, because it can be changed into a prime (5286943) 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, 29447 + ... + 29625.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^5286944 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 5286944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

5286944 is an abundant number, since it is smaller than the sum of its proper divisors (6143776).

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

5286944 is a wasteful number, since it uses less digits than its factorization.

5286944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 5286944 is about 2299.3355561988. The cubic root of 5286944 is about 174.2080569298.

The spelling of 5286944 in words is "five million, two hundred eighty-six thousand, nine hundred forty-four".