5685760 has 40 divisors (see below), whose sum is σ = 13638636. Its totient is φ = 2273280.

The previous prime is 5685739. The next prime is 5685763. The reversal of 5685760 is 675865.

It can be written as a sum of positive squares in 2 ways, for example, as 5683456 + 2304 = 2384^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (5685763) 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 3 ways as a sum of consecutive naturals, for example, 1450 + ... + 3670.

Almost surely, 2^5685760 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 5685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819318).

5685760 is an abundant number, since it is smaller than the sum of its proper divisors (7952876).

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

5685760 is an equidigital number, since it uses as much as digits as its factorization.

5685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 5685760 is about 2384.4831725135. The cubic root of 5685760 is about 178.4827195202.

It can be divided in two parts, 568 and 5760, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 5685760 in words is "five million, six hundred eighty-five thousand, seven hundred sixty".