5809680 has 60 divisors (see below), whose sum is σ = 19513260. Its totient is φ = 1549056.

The previous prime is 5809667. The next prime is 5809681. The reversal of 5809680 is 869085.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 5143824 = 816^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5809681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3315 + ... + 4754.

It is an arithmetic number, because the mean of its divisors is an integer number (325221).

Almost surely, 2^5809680 is an apocalyptic number.

It is an amenable number.

5809680 is an abundant number, since it is smaller than the sum of its proper divisors (13703580).

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

5809680 is a wasteful number, since it uses less digits than its factorization.

5809680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8088 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5809680 is about 2410.3277785397. The cubic root of 5809680 is about 179.7700768028.

The spelling of 5809680 in words is "five million, eight hundred nine thousand, six hundred eighty".