6824448 has 60 divisors (see below), whose sum is σ = 19709118. Its totient is φ = 2273280.

The previous prime is 6824443. The next prime is 6824453. The reversal of 6824448 is 8444286.

It is an interprime number because it is at equal distance from previous prime (6824443) and next prime (6824453).

It can be written as a sum of positive squares in only one way, i.e., 5992704 + 831744 = 2448^2 + 912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6824443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3868 + ... + 5348.

Almost surely, 2^6824448 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 6824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9854559).

6824448 is an abundant number, since it is smaller than the sum of its proper divisors (12884670).

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

6824448 is a wasteful number, since it uses less digits than its factorization.

6824448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1486 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 6824448 is about 2612.3644462441. The cubic root of 6824448 is about 189.6804230736.

The spelling of 6824448 in words is "six million, eight hundred twenty-four thousand, four hundred forty-eight".