5808960 has 84 divisors (see below), whose sum is σ = 19990308. Its totient is φ = 1548288.

The previous prime is 5808947. The next prime is 5808973. The reversal of 5808960 is 698085.

It is an interprime number because it is at equal distance from previous prime (5808947) and next prime (5808973).

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 2214144 = 1896^2 + 1488^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1872 + ... + 3888.

Almost surely, 2^5808960 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 5808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995154).

5808960 is an abundant number, since it is smaller than the sum of its proper divisors (14181348).

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

5808960 is a wasteful number, since it uses less digits than its factorization.

5808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2027 counting only the distinct ones).

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

The square root of 5808960 is about 2410.1784166323. The cubic root of 5808960 is about 179.7626501285.

The spelling of 5808960 in words is "five million, eight hundred eight thousand, nine hundred sixty".