8672987136 has 192 divisors, whose sum is σ = 25399483200. Its totient is φ = 2609971200.

The previous prime is 8672987129. The next prime is 8672987159. The reversal of 8672987136 is 6317892768.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8672987136² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12232350 + ... + 12233058.

It is an arithmetic number, because the mean of its divisors is an integer number (132288975).

Almost surely, 2^8672987136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8672987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12699741600).

8672987136 is an abundant number, since it is smaller than the sum of its proper divisors (16726496064).

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

8672987136 is a wasteful number, since it uses less digits than its factorization.

8672987136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 906 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The square root of 8672987136 is about 93128.8738039927. The cubic root of 8672987136 is about 2054.5792644495.

The spelling of 8672987136 in words is "eight billion, six hundred seventy-two million, nine hundred eighty-seven thousand, one hundred thirty-six".