5006784 has 56 divisors (see below), whose sum is σ = 13441680. Its totient is φ = 1644544.

The previous prime is 5006773. The next prime is 5006831. The reversal of 5006784 is 4876005.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16942 + ... + 17234.

It is an arithmetic number, because the mean of its divisors is an integer number (240030).

Almost surely, 2^5006784 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 5006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720840).

5006784 is an abundant number, since it is smaller than the sum of its proper divisors (8434896).

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

5006784 is a wasteful number, since it uses less digits than its factorization.

5006784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5006784 is about 2237.5844118156. The cubic root of 5006784 is about 171.0748962294.

The spelling of 5006784 in words is "five million, six thousand, seven hundred eighty-four".