8604728160 has 384 divisors, whose sum is σ = 33007564800. Its totient is φ = 1839366144.

The previous prime is 8604728159. The next prime is 8604728221. The reversal of 8604728160 is 618274068.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11366502 + ... + 11367258.

It is an arithmetic number, because the mean of its divisors is an integer number (85957200).

Almost surely, 2^8604728160 is an apocalyptic number.

8604728160 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 8604728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16503782400).

8604728160 is an abundant number, since it is smaller than the sum of its proper divisors (24402836640).

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

8604728160 is a wasteful number, since it uses less digits than its factorization.

8604728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 8604728160 is about 92761.6739823080. The cubic root of 8604728160 is about 2049.1750128771.

The spelling of 8604728160 in words is "eight billion, six hundred four million, seven hundred twenty-eight thousand, one hundred sixty".