5007968 has 48 divisors (see below), whose sum is σ = 11450880. Its totient is φ = 2111616.

The previous prime is 5007967. The next prime is 5007983. The reversal of 5007968 is 8697005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007967) 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, 17555 + ... + 17837.

It is an arithmetic number, because the mean of its divisors is an integer number (238560).

Almost surely, 2^5007968 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 5007968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725440).

5007968 is an abundant number, since it is smaller than the sum of its proper divisors (6442912).

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

5007968 is a wasteful number, since it uses less digits than its factorization.

5007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 5007968 is about 2237.8489672004. The cubic root of 5007968 is about 171.0883803817.

The spelling of 5007968 in words is "five million, seven thousand, nine hundred sixty-eight".