5709680 has 40 divisors (see below), whose sum is σ = 13392000. Its totient is φ = 2263808.

The previous prime is 5709679. The next prime is 5709689. The reversal of 5709680 is 869075.

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

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 5709680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5709689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11681 + ... + 12159.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 2^5709680 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 5709680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696000).

5709680 is an abundant number, since it is smaller than the sum of its proper divisors (7682320).

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

5709680 is a wasteful number, since it uses less digits than its factorization.

5709680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 5709680 is about 2389.4936702155. The cubic root of 5709680 is about 178.7326616922.

The spelling of 5709680 in words is "five million, seven hundred nine thousand, six hundred eighty".