8181632160 has 576 divisors, whose sum is σ = 32572979712. Its totient is φ = 1851752448.

The previous prime is 8181632153. The next prime is 8181632183. The reversal of 8181632160 is 612361818.

8181632160 is a `hidden beast` number, since 8 + 1 + 8 + 1 + 632 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 14957007 + ... + 14957553.

It is an arithmetic number, because the mean of its divisors is an integer number (56550312).

Almost surely, 2^8181632160 is an apocalyptic number.

8181632160 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 8181632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286489856).

8181632160 is an abundant number, since it is smaller than the sum of its proper divisors (24391347552).

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

8181632160 is a wasteful number, since it uses less digits than its factorization.

8181632160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8181632160 is about 90452.3750931948. The cubic root of 8181632160 is about 2015.0228872237.

Adding to 8181632160 its reverse (612361818), we get a palindrome (8793993978).

The spelling of 8181632160 in words is "eight billion, one hundred eighty-one million, six hundred thirty-two thousand, one hundred sixty".