8731689120 has 432 divisors, whose sum is σ = 37436031360. Its totient is φ = 1814123520.

The previous prime is 8731689119. The next prime is 8731689133. The reversal of 8731689120 is 219861378.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1216101 + ... + 1223259.

It is an arithmetic number, because the mean of its divisors is an integer number (86657480).

Almost surely, 2^8731689120 is an apocalyptic number.

8731689120 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 8731689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18718015680).

8731689120 is an abundant number, since it is smaller than the sum of its proper divisors (28704342240).

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

8731689120 is a wasteful number, since it uses less digits than its factorization.

8731689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7209 (or 7187 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8731689120 is about 93443.5076396429. The cubic root of 8731689120 is about 2059.2042296648.

It can be divided in two parts, 873168 and 9120, that added together give a palindrome (882288).

The spelling of 8731689120 in words is "eight billion, seven hundred thirty-one million, six hundred eighty-nine thousand, one hundred twenty".