5807648 has 48 divisors (see below), whose sum is σ = 14261184. Its totient is φ = 2261760.

The previous prime is 5807647. The next prime is 5807651. The reversal of 5807648 is 8467085.

It is not an unprimeable number, because it can be changed into a prime (5807647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1286 + ... + 3642.

It is an arithmetic number, because the mean of its divisors is an integer number (297108).

Almost surely, 2^5807648 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 5807648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7130592).

5807648 is an abundant number, since it is smaller than the sum of its proper divisors (8453536).

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

5807648 is a wasteful number, since it uses less digits than its factorization.

5807648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 5807648 is about 2409.9062222419. The cubic root of 5807648 is about 179.7491154995.

It can be divided in two parts, 580 and 7648, that added together give a palindrome (8228).

The spelling of 5807648 in words is "five million, eight hundred seven thousand, six hundred forty-eight".