8117120 has 64 divisors (see below), whose sum is σ = 21187440. Its totient is φ = 2949120.

The previous prime is 8117119. The next prime is 8117141. The reversal of 8117120 is 217118.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 8117092 and 8117101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6464 + ... + 7616.

Almost surely, 2^8117120 is an apocalyptic number.

8117120 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 8117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10593720).

8117120 is an abundant number, since it is smaller than the sum of its proper divisors (13070320).

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

8117120 is a wasteful number, since it uses less digits than its factorization.

8117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 8117120 is about 2849.0559840059. The cubic root of 8117120 is about 200.9712754840.

The spelling of 8117120 in words is "eight million, one hundred seventeen thousand, one hundred twenty".