8017120 has 48 divisors (see below), whose sum is σ = 19187280. Its totient is φ = 3165184.

The previous prime is 8017117. The next prime is 8017159. The reversal of 8017120 is 217108.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13959 + ... + 14521.

It is an arithmetic number, because the mean of its divisors is an integer number (399735).

Almost surely, 2^8017120 is an apocalyptic number.

8017120 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 8017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593640).

8017120 is an abundant number, since it is smaller than the sum of its proper divisors (11170160).

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

8017120 is a wasteful number, since it uses less digits than its factorization.

8017120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 8017120 is about 2831.4519243667. The cubic root of 8017120 is about 200.1425650186.

It can be divided in two parts, 801 and 7120, that added together give a square (7921 = 89²).

The spelling of 8017120 in words is "eight million, seventeen thousand, one hundred twenty".