5638968 has 72 divisors (see below), whose sum is σ = 16283280. Its totient is φ = 1762560.

The previous prime is 5638967. The next prime is 5639003. The reversal of 5638968 is 8698365.

5638968 is a `hidden beast` number, since 5 + 638 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×5638968⁴ (a number of 28 digits) contains 4444 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5638961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20673 + ... + 20943.

Almost surely, 2^5638968 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 5638968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8141640).

5638968 is an abundant number, since it is smaller than the sum of its proper divisors (10644312).

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

5638968 is a wasteful number, since it uses less digits than its factorization.

5638968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 5638968 is about 2374.6511322719. The cubic root of 5638968 is about 177.9917515010.

The spelling of 5638968 in words is "five million, six hundred thirty-eight thousand, nine hundred sixty-eight".