5005968 has 80 divisors (see below), whose sum is σ = 14880000. Its totient is φ = 1434240.

The previous prime is 5005961. The next prime is 5005969. The reversal of 5005968 is 8695005.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5005961) 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, 9783 + ... + 10281.

It is an arithmetic number, because the mean of its divisors is an integer number (186000).

Almost surely, 2^5005968 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 5005968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440000).

5005968 is an abundant number, since it is smaller than the sum of its proper divisors (9874032).

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

5005968 is a wasteful number, since it uses less digits than its factorization.

5005968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5005968 is about 2237.4020648958. The cubic root of 5005968 is about 171.0656018600.

The spelling of 5005968 in words is "five million, five thousand, nine hundred sixty-eight".