8192784160 has 384 divisors, whose sum is σ = 23587780608. Its totient is φ = 2676326400.

The previous prime is 8192784139. The next prime is 8192784227. The reversal of 8192784160 is 614872918.

It is a self number, because there is not a number n which added to its sum of digits gives 8192784160.

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 63 ways as a sum of consecutive naturals, for example, 112229884 + ... + 112229956.

It is an arithmetic number, because the mean of its divisors is an integer number (61426512).

Almost surely, 2^8192784160 is an apocalyptic number.

8192784160 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 8192784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793890304).

8192784160 is an abundant number, since it is smaller than the sum of its proper divisors (15394996448).

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

8192784160 is a wasteful number, since it uses less digits than its factorization.

8192784160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 8192784160 is about 90513.9998011357. Note that the first 3 decimals coincide. The cubic root of 8192784160 is about 2015.9379993740.

The spelling of 8192784160 in words is "eight billion, one hundred ninety-two million, seven hundred eighty-four thousand, one hundred sixty".