81766016 has 32 divisors (see below), whose sum is σ = 163934400. Its totient is φ = 40621824.

The previous prime is 81766007. The next prime is 81766019. The reversal of 81766016 is 61066718.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (81766019) 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 3 ways as a sum of consecutive naturals, for example, 18905 + ... + 22823.

It is an arithmetic number, because the mean of its divisors is an integer number (5122950).

Almost surely, 2^81766016 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 81766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81967200).

81766016 is an abundant number, since it is smaller than the sum of its proper divisors (82168384).

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

81766016 is a wasteful number, since it uses less digits than its factorization.

81766016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 81766016 is about 9042.4563034609. The cubic root of 81766016 is about 434.0345276104.

The spelling of 81766016 in words is "eighty-one million, seven hundred sixty-six thousand, sixteen".