8147007120 has 160 divisors (see below), whose sum is σ = 29859160320. Its totient is φ = 1797949440.

The previous prime is 8147007103. The next prime is 8147007139. The reversal of 8147007120 is 217007418.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34891 + ... + 132330.

It is an arithmetic number, because the mean of its divisors is an integer number (186619752).

Almost surely, 2^8147007120 is an apocalyptic number.

8147007120 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 8147007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929580160).

8147007120 is an abundant number, since it is smaller than the sum of its proper divisors (21712153200).

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

8147007120 is a wasteful number, since it uses less digits than its factorization.

8147007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167273 (or 167267 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 8147007120 is about 90260.7728750425. The cubic root of 8147007120 is about 2012.1763116102.

The spelling of 8147007120 in words is "eight billion, one hundred forty-seven million, seven thousand, one hundred twenty".