5882580 has 72 divisors (see below), whose sum is σ = 19472544. Its totient is φ = 1425600.

The previous prime is 5882579. The next prime is 5882581. The reversal of 5882580 is 852885.

It is an interprime number because it is at equal distance from previous prime (5882579) and next prime (5882581).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (5882581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495 + ... + 3465.

It is an arithmetic number, because the mean of its divisors is an integer number (270452).

Almost surely, 2^5882580 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 5882580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736272).

5882580 is an abundant number, since it is smaller than the sum of its proper divisors (13589964).

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

5882580 is a wasteful number, since it uses less digits than its factorization.

5882580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5882580 is about 2425.4030592873. The cubic root of 5882580 is about 180.5188732142.

The spelling of 5882580 in words is "five million, eight hundred eighty-two thousand, five hundred eighty".