8120408960 has 64 divisors (see below), whose sum is σ = 19864381680. Its totient is φ = 3172614144.

The previous prime is 8120408951. The next prime is 8120408971. The reversal of 8120408960 is 698040218.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120017 + ... + 175056.

Almost surely, 2^8120408960 is an apocalyptic number.

8120408960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8120408960 is an abundant number, since it is smaller than the sum of its proper divisors (11743972720).

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

8120408960 is a wasteful number, since it uses less digits than its factorization.

8120408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295135 (or 295123 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 8120408960 is about 90113.3117802248. The cubic root of 8120408960 is about 2009.9841553828.

The spelling of 8120408960 in words is "eight billion, one hundred twenty million, four hundred eight thousand, nine hundred sixty".