5806480 has 40 divisors (see below), whose sum is σ = 13608504. Its totient is φ = 2304000.

The previous prime is 5806477. The next prime is 5806481. The reversal of 5806480 is 846085.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 5216656 = 768^2 + 2284^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5806481) 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, 14280 + ... + 14680.

Almost surely, 2^5806480 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 5806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804252).

5806480 is an abundant number, since it is smaller than the sum of its proper divisors (7802024).

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

5806480 is a wasteful number, since it uses less digits than its factorization.

5806480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5806480 is about 2409.6638769754. The cubic root of 5806480 is about 179.7370646634.

The spelling of 5806480 in words is "five million, eight hundred six thousand, four hundred eighty".