83806866 has 64 divisors (see below), whose sum is σ = 218816640. Its totient is φ = 23440320.

The previous prime is 83806861. The next prime is 83806867. The reversal of 83806866 is 66860838.

It is not an unprimeable number, because it can be changed into a prime (83806861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2296 + ... + 13148.

It is an arithmetic number, because the mean of its divisors is an integer number (3419010).

Almost surely, 2^83806866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83806866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109408320).

83806866 is an abundant number, since it is smaller than the sum of its proper divisors (135009774).

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

83806866 is a wasteful number, since it uses less digits than its factorization.

83806866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 83806866 is about 9154.6090031197. The cubic root of 83806866 is about 437.6160079848.

The spelling of 83806866 in words is "eighty-three million, eight hundred six thousand, eight hundred sixty-six".