81766314 has 64 divisors (see below), whose sum is σ = 208896000. Its totient is φ = 23223024.

The previous prime is 81766301. The next prime is 81766319. The reversal of 81766314 is 41366718.

81766314 is a `hidden beast` number, since 8 + 17 + 6 + 631 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81766319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74679 + ... + 75765.

It is an arithmetic number, because the mean of its divisors is an integer number (3264000).

Almost surely, 2^81766314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81766314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104448000).

81766314 is an abundant number, since it is smaller than the sum of its proper divisors (127129686).

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

81766314 is a wasteful number, since it uses less digits than its factorization.

81766314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 81766314 is about 9042.4727812695. The cubic root of 81766314 is about 434.0350548960.

The spelling of 81766314 in words is "eighty-one million, seven hundred sixty-six thousand, three hundred fourteen".