5006016 has 56 divisors (see below), whose sum is σ = 14721840. Its totient is φ = 1668096.

The previous prime is 5006011. The next prime is 5006021. The reversal of 5006016 is 6106005.

5006016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5006011) and next prime (5006021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 5006016.

It is not an unprimeable number, because it can be changed into a prime (5006011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 3176.

It is an arithmetic number, because the mean of its divisors is an integer number (262890).

Almost surely, 2^5006016 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 5006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360920).

5006016 is an abundant number, since it is smaller than the sum of its proper divisors (9715824).

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

5006016 is a wasteful number, since it uses less digits than its factorization.

5006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5006016 is about 2237.4127915966. The cubic root of 5006016 is about 171.0661486156.

The spelling of 5006016 in words is "five million, six thousand, sixteen".