8444320 has 48 divisors (see below), whose sum is σ = 20207880. Its totient is φ = 3334144.

The previous prime is 8444309. The next prime is 8444323. The reversal of 8444320 is 234448.

It can be written as a sum of positive squares in 4 ways, for example, as 5973136 + 2471184 = 2444^2 + 1572^2 .

It is an Ulam number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (8444323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13944 + ... + 14536.

Almost surely, 2^8444320 is an apocalyptic number.

8444320 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 8444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10103940).

8444320 is an abundant number, since it is smaller than the sum of its proper divisors (11763560).

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

8444320 is a wasteful number, since it uses less digits than its factorization.

8444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 8444320 is about 2905.9112168131. The cubic root of 8444320 is about 203.6361578152.

Adding to 8444320 its reverse (234448), we get a palindrome (8678768).

The spelling of 8444320 in words is "eight million, four hundred forty-four thousand, three hundred twenty".