5808320 has 56 divisors (see below), whose sum is σ = 15813024. Its totient is φ = 1990656.

The previous prime is 5808301. The next prime is 5808329. The reversal of 5808320 is 238085.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 5808320.

It is not an unprimeable number, because it can be changed into a prime (5808329) 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 7 ways as a sum of consecutive naturals, for example, 944 + ... + 3536.

Almost surely, 2^5808320 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 5808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906512).

5808320 is an abundant number, since it is smaller than the sum of its proper divisors (10004704).

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

5808320 is a wasteful number, since it uses less digits than its factorization.

5808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 5808320 is about 2410.0456427213. The cubic root of 5808320 is about 179.7560481251.

The spelling of 5808320 in words is "five million, eight hundred eight thousand, three hundred twenty".