8801120 has 48 divisors (see below), whose sum is σ = 21128688. Its totient is φ = 3463680.

The previous prime is 8801083. The next prime is 8801129. The reversal of 8801120 is 211088.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8801092 and 8801101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8801129) 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, 10310 + ... + 11130.

It is an arithmetic number, because the mean of its divisors is an integer number (440181).

Almost surely, 2^8801120 is an apocalyptic number.

8801120 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 8801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564344).

8801120 is an abundant number, since it is smaller than the sum of its proper divisors (12327568).

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

8801120 is a wasteful number, since it uses less digits than its factorization.

8801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 8801120 is about 2966.6681647936. The cubic root of 8801120 is about 206.4647814601.

The spelling of 8801120 in words is "eight million, eight hundred one thousand, one hundred twenty".