81679104 has 216 divisors, whose sum is σ = 265613712. Its totient is φ = 24883200.

The previous prime is 81679063. The next prime is 81679111. The reversal of 81679104 is 40197618.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808654 + ... + 808754.

Almost surely, 2^81679104 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 81679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132806856).

81679104 is an abundant number, since it is smaller than the sum of its proper divisors (183934608).

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

81679104 is a wasteful number, since it uses less digits than its factorization.

81679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 81679104 is about 9037.6492518796. The cubic root of 81679104 is about 433.8806895236.

It can be divided in two parts, 8167 and 9104, that added together give a palindrome (17271).

The spelling of 81679104 in words is "eighty-one million, six hundred seventy-nine thousand, one hundred four".