81418176 has 224 divisors, whose sum is σ = 280903680. Its totient is φ = 22643712.

The previous prime is 81418153. The next prime is 81418177. The reversal of 81418176 is 67181418.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10752) is a multiple of the sum of its prime divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 81418176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81418177) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 641025 + ... + 641151.

Almost surely, 2^81418176 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 81418176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840).

81418176 is an abundant number, since it is smaller than the sum of its proper divisors (199485504).

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

81418176 is a wasteful number, since it uses less digits than its factorization.

81418176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 81418176 is about 9023.2020923838. The cubic root of 81418176 is about 433.4181787842.

The spelling of 81418176 in words is "eighty-one million, four hundred eighteen thousand, one hundred seventy-six".