5856768 has 120 divisors (see below), whose sum is σ = 17873856. Its totient is φ = 1843200.

The previous prime is 5856761. The next prime is 5856791. The reversal of 5856768 is 8676585.

5856768 is a `hidden beast` number, since 585 + 6 + 7 + 68 = 666.

Its product of digits (403200) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5856761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142828 + ... + 142868.

Almost surely, 2^5856768 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 5856768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936928).

5856768 is an abundant number, since it is smaller than the sum of its proper divisors (12017088).

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

5856768 is a wasteful number, since it uses less digits than its factorization.

5856768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5856768 is about 2420.0760318635. The cubic root of 5856768 is about 180.2544549380.

The spelling of 5856768 in words is "five million, eight hundred fifty-six thousand, seven hundred sixty-eight".