8448000 has 192 divisors, whose sum is σ = 30663360. Its totient is φ = 2048000.

The previous prime is 8447987. The next prime is 8448007. The reversal of 8448000 is 8448.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8448007) 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 15 ways as a sum of consecutive naturals, for example, 767995 + ... + 768005.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 2^8448000 is an apocalyptic number.

8448000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

8448000 is an abundant number, since it is smaller than the sum of its proper divisors (22215360).

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

8448000 is a wasteful number, since it uses less digits than its factorization.

8448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8448000 is about 2906.5443399336. The cubic root of 8448000 is about 203.6657347864.

8448000 divided by its reverse (8448) gives a cube (1000 = 10³).

It can be divided in two parts, 84 and 48000, that added together give a palindrome (48084).

The spelling of 8448000 in words is "eight million, four hundred forty-eight thousand".