5005616 has 80 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 1827840.

The previous prime is 5005613. The next prime is 5005621. The reversal of 5005616 is 6165005.

It is a junction number, because it is equal to n+sod(n) for n = 5005591 and 5005600.

It is not an unprimeable number, because it can be changed into a prime (5005613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20825 + ... + 21063.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

Almost surely, 2^5005616 is an apocalyptic number.

5005616 is a gapful number since it is divisible by the number (56) 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 5005616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

5005616 is an abundant number, since it is smaller than the sum of its proper divisors (7850704).

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

5005616 is a wasteful number, since it uses less digits than its factorization.

5005616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5005616 is about 2237.3234008520. The cubic root of 5005616 is about 171.0615922124.

It can be divided in two parts, 500 and 5616, that added together give a palindrome (6116).

The spelling of 5005616 in words is "five million, five thousand, six hundred sixteen".