8084640160 has 24 divisors (see below), whose sum is σ = 19099962756. Its totient is φ = 3233856000.

The previous prime is 8084640107. The next prime is 8084640191. The reversal of 8084640160 is 610464808.

It can be written as a sum of positive squares in 2 ways, for example, as 7625480976 + 459159184 = 87324^2 + 21428^2 .

It is a super-2 number, since 2×8084640160² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25264341 + ... + 25264660.

Almost surely, 2^8084640160 is an apocalyptic number.

8084640160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8084640160 is an abundant number, since it is smaller than the sum of its proper divisors (11015322596).

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

8084640160 is a wasteful number, since it uses less digits than its factorization.

8084640160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50529016 (or 50529008 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 8084640160 is about 89914.6270636764. The cubic root of 8084640160 is about 2007.0286170029.

The spelling of 8084640160 in words is "eight billion, eighty-four million, six hundred forty thousand, one hundred sixty".