5285760 has 64 divisors (see below), whose sum is σ = 16854480. Its totient is φ = 1409024.

The previous prime is 5285741. The next prime is 5285767. The reversal of 5285760 is 675825.

5285760 = T₂₂₁ + T₂₂₂ + ... + T₃₄₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5285767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544 + ... + 3296.

Almost surely, 2^5285760 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 5285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427240).

5285760 is an abundant number, since it is smaller than the sum of its proper divisors (11568720).

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

5285760 is a wasteful number, since it uses less digits than its factorization.

5285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5285760 is about 2299.0780760992. The cubic root of 5285760 is about 174.1950514495.

The spelling of 5285760 in words is "five million, two hundred eighty-five thousand, seven hundred sixty".