8186886960 has 160 divisors (see below), whose sum is σ = 29679767040. Its totient is φ = 1827753984.

The previous prime is 8186886959. The next prime is 8186886971. The reversal of 8186886960 is 696886818.

It is a happy number.

It is a super-3 number, since 3×8186886960³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 8186886894 and 8186886903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15576 + ... + 128904.

It is an arithmetic number, because the mean of its divisors is an integer number (185498544).

Almost surely, 2^8186886960 is an apocalyptic number.

8186886960 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 8186886960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839883520).

8186886960 is an abundant number, since it is smaller than the sum of its proper divisors (21492880080).

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

8186886960 is a wasteful number, since it uses less digits than its factorization.

8186886960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113395 (or 113389 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The square root of 8186886960 is about 90481.4177607756. The cubic root of 8186886960 is about 2015.4541897632.

The spelling of 8186886960 in words is "eight billion, one hundred eighty-six million, eight hundred eighty-six thousand, nine hundred sixty".