81543168 has 180 divisors, whose sum is σ = 272621440. Its totient is φ = 23003136.

The previous prime is 81543151. The next prime is 81543197. The reversal of 81543168 is 86134518.

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

Its product of digits (23040) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032153 + ... + 1032231.

Almost surely, 2^81543168 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 81543168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136310720).

81543168 is an abundant number, since it is smaller than the sum of its proper divisors (191078272).

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

81543168 is an equidigital number, since it uses as much as digits as its factorization.

81543168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 81543168 is about 9030.1255805221. The cubic root of 81543168 is about 433.6398578121.

The spelling of 81543168 in words is "eighty-one million, five hundred forty-three thousand, one hundred sixty-eight".