5824768 has 36 divisors (see below), whose sum is σ = 11849068. Its totient is φ = 2856960.

The previous prime is 5824751. The next prime is 5824781. The reversal of 5824768 is 8674285.

It can be written as a sum of positive squares in 2 ways, for example, as 1364224 + 4460544 = 1168^2 + 2112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5824768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15430 + ... + 15802.

Almost surely, 2^5824768 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 5824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924534).

5824768 is an abundant number, since it is smaller than the sum of its proper divisors (6024300).

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

5824768 is an equidigital number, since it uses as much as digits as its factorization.

5824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 5824768 is about 2413.4556138450. The cubic root of 5824768 is about 179.9255659319.

The spelling of 5824768 in words is "five million, eight hundred twenty-four thousand, seven hundred sixty-eight".