81826304 has 120 divisors (see below), whose sum is σ = 200999040. Its totient is φ = 32587776.

The previous prime is 81826301. The next prime is 81826319. The reversal of 81826304 is 40362818.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (81826301) by changing a digit.

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, 1035737 + ... + 1035815.

It is an arithmetic number, because the mean of its divisors is an integer number (1674992).

Almost surely, 2^81826304 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 81826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100499520).

81826304 is an abundant number, since it is smaller than the sum of its proper divisors (119172736).

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

81826304 is an equidigital number, since it uses as much as digits as its factorization.

81826304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 81826304 is about 9045.7892966838. The cubic root of 81826304 is about 434.1411760133.

The spelling of 81826304 in words is "eighty-one million, eight hundred twenty-six thousand, three hundred four".