5756816 has 30 divisors (see below), whose sum is σ = 12083490. Its totient is φ = 2655744.

The previous prime is 5756801. The next prime is 5756833. The reversal of 5756816 is 6186575.

5756816 = 94² + 95² + ... + 262².

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 92416 + 5664400 = 304^2 + 2380^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5756816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1640 + ... + 3768.

It is an arithmetic number, because the mean of its divisors is an integer number (402783).

Almost surely, 2^5756816 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 5756816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041745).

5756816 is an abundant number, since it is smaller than the sum of its proper divisors (6326674).

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

5756816 is a wasteful number, since it uses less digits than its factorization.

5756816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2144 counting only the distinct ones).

The product of its digits is 50400, while the sum is 38.

The square root of 5756816 is about 2399.3365749723. The cubic root of 5756816 is about 179.2231541616.

The spelling of 5756816 in words is "five million, seven hundred fifty-six thousand, eight hundred sixteen".