8160584640 has 112 divisors (see below), whose sum is σ = 27902964768. Its totient is φ = 2008756224.

The previous prime is 8160584629. The next prime is 8160584671. The reversal of 8160584640 is 464850618.

It is a junction number, because it is equal to n+sod(n) for n = 8160584592 and 8160584601.

It is a congruent number.

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, 314467 + ... + 339426.

It is an arithmetic number, because the mean of its divisors is an integer number (249133614).

Almost surely, 2^8160584640 is an apocalyptic number.

8160584640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8160584640 is an abundant number, since it is smaller than the sum of its proper divisors (19742380128).

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

8160584640 is a wasteful number, since it uses less digits than its factorization.

8160584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653926 (or 653916 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 8160584640 is about 90335.9543039204. The cubic root of 8160584640 is about 2013.2934990096.

The spelling of 8160584640 in words is "eight billion, one hundred sixty million, five hundred eighty-four thousand, six hundred forty".