5759680 has 56 divisors (see below), whose sum is σ = 14081760. Its totient is φ = 2242560.

The previous prime is 5759647. The next prime is 5759687. The reversal of 5759680 is 869575.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5759687) 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 7 ways as a sum of consecutive naturals, for example, 12901 + ... + 13339.

It is an arithmetic number, because the mean of its divisors is an integer number (251460).

Almost surely, 2^5759680 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 5759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040880).

5759680 is an abundant number, since it is smaller than the sum of its proper divisors (8322080).

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

5759680 is a wasteful number, since it uses less digits than its factorization.

5759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 5759680 is about 2399.9333324074. The cubic root of 5759680 is about 179.2528702417.

The spelling of 5759680 in words is "five million, seven hundred fifty-nine thousand, six hundred eighty".