8438320 has 80 divisors (see below), whose sum is σ = 21998592. Its totient is φ = 2983680.

The previous prime is 8438303. The next prime is 8438323. The reversal of 8438320 is 238348.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (8438323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37729 + ... + 37951.

Almost surely, 2^8438320 is an apocalyptic number.

8438320 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 8438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999296).

8438320 is an abundant number, since it is smaller than the sum of its proper divisors (13560272).

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

8438320 is a wasteful number, since it uses less digits than its factorization.

8438320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 8438320 is about 2904.8786549527. The cubic root of 8438320 is about 203.5879160605.

Adding to 8438320 its sum of digits (28), we get a palindrome (8438348).

The spelling of 8438320 in words is "eight million, four hundred thirty-eight thousand, three hundred twenty".