5835760 has 80 divisors (see below), whose sum is σ = 16445376. Its totient is φ = 1880064.

The previous prime is 5835701. The next prime is 5835761. The reversal of 5835760 is 675385.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5835761) 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, 9214 + ... + 9826.

Almost surely, 2^5835760 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 5835760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8222688).

5835760 is an abundant number, since it is smaller than the sum of its proper divisors (10609616).

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

5835760 is a wasteful number, since it uses less digits than its factorization.

5835760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 5835760 is about 2415.7317731901. The cubic root of 5835760 is about 180.0386748173.

The spelling of 5835760 in words is "five million, eight hundred thirty-five thousand, seven hundred sixty".