83666814 has 96 divisors (see below), whose sum is σ = 217873152. Its totient is φ = 21168000.

The previous prime is 83666813. The next prime is 83666873. The reversal of 83666814 is 41866638.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83666813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132279 + ... + 132909.

It is an arithmetic number, because the mean of its divisors is an integer number (2269512).

Almost surely, 2^83666814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83666814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108936576).

83666814 is an abundant number, since it is smaller than the sum of its proper divisors (134206338).

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

83666814 is a wasteful number, since it uses less digits than its factorization.

83666814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 695 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 83666814 is about 9146.9565430257. The cubic root of 83666814 is about 437.3721012804.

The spelling of 83666814 in words is "eighty-three million, six hundred sixty-six thousand, eight hundred fourteen".