5791968 has 216 divisors, whose sum is σ = 21582288. Its totient is φ = 1437696.

The previous prime is 5791963. The next prime is 5791987. The reversal of 5791968 is 8691975.

5791968 is a `hidden beast` number, since 579 + 19 + 68 = 666.

It is an Ulam number.

Its product of digits (136080) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5791963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340696 + ... + 340712.

It is an arithmetic number, because the mean of its divisors is an integer number (99918).

Almost surely, 2^5791968 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 5791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10791144).

5791968 is an abundant number, since it is smaller than the sum of its proper divisors (15790320).

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

5791968 is a wasteful number, since it uses less digits than its factorization.

5791968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 5791968 is about 2406.6507848045. The cubic root of 5791968 is about 179.5872021939.

The spelling of 5791968 in words is "five million, seven hundred ninety-one thousand, nine hundred sixty-eight".