8180320 has 96 divisors (see below), whose sum is σ = 20956320. Its totient is φ = 3010560.

The previous prime is 8180299. The next prime is 8180323. The reversal of 8180320 is 230818.

It is a junction number, because it is equal to n+sod(n) for n = 8180291 and 8180300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8180323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190219 + ... + 190261.

It is an arithmetic number, because the mean of its divisors is an integer number (218295).

Almost surely, 2^8180320 is an apocalyptic number.

8180320 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 8180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478160).

8180320 is an abundant number, since it is smaller than the sum of its proper divisors (12776000).

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

8180320 is a wasteful number, since it uses less digits than its factorization.

8180320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8180320 is about 2860.1258713560. The cubic root of 8180320 is about 201.4915159175.

The spelling of 8180320 in words is "eight million, one hundred eighty thousand, three hundred twenty".