8681120 has 96 divisors (see below), whose sum is σ = 24530688. Its totient is φ = 2838528.

The previous prime is 8681117. The next prime is 8681129. The reversal of 8681120 is 211868.

It is a self number, because there is not a number n which added to its sum of digits gives 8681120.

It is not an unprimeable number, because it can be changed into a prime (8681129) 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, 25592 + ... + 25928.

It is an arithmetic number, because the mean of its divisors is an integer number (255528).

Almost surely, 2^8681120 is an apocalyptic number.

8681120 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 8681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265344).

8681120 is an abundant number, since it is smaller than the sum of its proper divisors (15849568).

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

8681120 is a wasteful number, since it uses less digits than its factorization.

8681120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 8681120 is about 2946.3740427855. The cubic root of 8681120 is about 205.5221272914.

Adding to 8681120 its reverse (211868), we get a palindrome (8892988).

The spelling of 8681120 in words is "eight million, six hundred eighty-one thousand, one hundred twenty".