8408160096 has 144 divisors (see below), whose sum is σ = 25725406896. Its totient is φ = 2397609984.

The previous prime is 8408160077. The next prime is 8408160107. The reversal of 8408160096 is 6900618048.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2900920 + ... + 2903816.

It is an arithmetic number, because the mean of its divisors is an integer number (178648659).

Almost surely, 2^8408160096 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 8408160096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12862703448).

8408160096 is an abundant number, since it is smaller than the sum of its proper divisors (17317246800).

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

8408160096 is a wasteful number, since it uses less digits than its factorization.

8408160096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8408160096 is about 91696.0200663039. The cubic root of 8408160096 is about 2033.4507459806.

The spelling of 8408160096 in words is "eight billion, four hundred eight million, one hundred sixty thousand, ninety-six".