5800608 has 72 divisors (see below), whose sum is σ = 18004896. Its totient is φ = 1756800.

The previous prime is 5800603. The next prime is 5800637. The reversal of 5800608 is 8060085.

5800608 is a `hidden beast` number, since 58 + 0 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5800603) 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 11 ways as a sum of consecutive naturals, for example, 2253 + ... + 4083.

It is an arithmetic number, because the mean of its divisors is an integer number (250068).

Almost surely, 2^5800608 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 5800608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9002448).

5800608 is an abundant number, since it is smaller than the sum of its proper divisors (12204288).

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

5800608 is a wasteful number, since it uses less digits than its factorization.

5800608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5800608 is about 2408.4451415799. The cubic root of 5800608 is about 179.6764558253.

The spelling of 5800608 in words is "five million, eight hundred thousand, six hundred eight".