5008600 has 48 divisors (see below), whose sum is σ = 11829600. Its totient is φ = 1971840.

The previous prime is 5008573. The next prime is 5008607. The reversal of 5008600 is 68005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5008607) 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 11 ways as a sum of consecutive naturals, for example, 15642 + ... + 15958.

It is an arithmetic number, because the mean of its divisors is an integer number (246450).

Almost surely, 2^5008600 is an apocalyptic number.

5008600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5008600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914800).

5008600 is an abundant number, since it is smaller than the sum of its proper divisors (6821000).

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

5008600 is a wasteful number, since it uses less digits than its factorization.

5008600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5008600 is about 2237.9901697729. The cubic root of 5008600 is about 171.0955771335.

The spelling of 5008600 in words is "five million, eight thousand, six hundred".