8709120 has 264 divisors, whose sum is σ = 35765184. Its totient is φ = 1990656.

The previous prime is 8709079. The next prime is 8709121. The reversal of 8709120 is 219078.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 4!.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8709121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244157 + ... + 1244163.

Almost surely, 2^8709120 is an apocalyptic number.

8709120 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 8709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882592).

8709120 is an abundant number, since it is smaller than the sum of its proper divisors (27056064).

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

8709120 is an equidigital number, since it uses as much as digits as its factorization.

8709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8709120 is about 2951.1218205964. The cubic root of 8709120 is about 205.7428531755.

The spelling of 8709120 in words is "eight million, seven hundred nine thousand, one hundred twenty".