8405166 has 96 divisors (see below), whose sum is σ = 22457088. Its totient is φ = 2069760.

The previous prime is 8405153. The next prime is 8405183. The reversal of 8405166 is 6615048.

8405166 is a modest number, since divided by 5166 gives 84 as remainder.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 74326 + ... + 74438.

It is an arithmetic number, because the mean of its divisors is an integer number (233928).

Almost surely, 2^8405166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8405166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11228544).

8405166 is an abundant number, since it is smaller than the sum of its proper divisors (14051922).

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

8405166 is a wasteful number, since it uses less digits than its factorization.

8405166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8405166 is about 2899.1664319249. The cubic root of 8405166 is about 203.3209350737.

It can be divided in two parts, 840 and 5166, that added together give a palindrome (6006).

The spelling of 8405166 in words is "eight million, four hundred five thousand, one hundred sixty-six".