8238320 has 80 divisors (see below), whose sum is σ = 20489760. Its totient is φ = 3075072.

The previous prime is 8238299. The next prime is 8238337. The reversal of 8238320 is 238328.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8238320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122927 + ... + 122993.

It is an arithmetic number, because the mean of its divisors is an integer number (256122).

Almost surely, 2^8238320 is an apocalyptic number.

8238320 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 8238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244880).

8238320 is an abundant number, since it is smaller than the sum of its proper divisors (12251440).

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

8238320 is a wasteful number, since it uses less digits than its factorization.

8238320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 8238320 is about 2870.2473760984. The cubic root of 8238320 is about 201.9665990587.

It can be divided in two parts, 8238 and 320, that added together give a palindrome (8558).

The spelling of 8238320 in words is "eight million, two hundred thirty-eight thousand, three hundred twenty".