5004600 has 96 divisors (see below), whose sum is σ = 16368000. Its totient is φ = 1261440.

The previous prime is 5004599. The next prime is 5004611. The reversal of 5004600 is 64005.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5004600.

It is a congruent number.

It is an unprimeable number.

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, 11181 + ... + 11619.

It is an arithmetic number, because the mean of its divisors is an integer number (170500).

Almost surely, 2^5004600 is an apocalyptic number.

5004600 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 5004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184000).

5004600 is an abundant number, since it is smaller than the sum of its proper divisors (11363400).

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

5004600 is a wasteful number, since it uses less digits than its factorization.

5004600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5004600 is about 2237.0963323022. The cubic root of 5004600 is about 171.0500178569.

Adding to 5004600 its reverse (64005), we get a palindrome (5068605).

The spelling of 5004600 in words is "five million, four thousand, six hundred".