8009120 has 48 divisors (see below), whose sum is σ = 21627648. Its totient is φ = 2745600.

The previous prime is 8009119. The next prime is 8009123. The reversal of 8009120 is 219008.

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 = 8009092 and 8009101.

It is not an unprimeable number, because it can be changed into a prime (8009123) 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 7 ways as a sum of consecutive naturals, for example, 2456 + ... + 4695.

It is an arithmetic number, because the mean of its divisors is an integer number (450576).

Almost surely, 2^8009120 is an apocalyptic number.

8009120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8009120 is an abundant number, since it is smaller than the sum of its proper divisors (13618528).

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

8009120 is a wasteful number, since it uses less digits than its factorization.

8009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7173 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 8009120 is about 2830.0388689910. The cubic root of 8009120 is about 200.0759711383.

The spelling of 8009120 in words is "eight million, nine thousand, one hundred twenty".