8409168 has 60 divisors (see below), whose sum is σ = 24566880. Its totient is φ = 2680128.

The previous prime is 8409133. The next prime is 8409173. The reversal of 8409168 is 8619048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2043 + ... + 4581.

It is an arithmetic number, because the mean of its divisors is an integer number (409448).

Almost surely, 2^8409168 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 8409168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12283440).

8409168 is an abundant number, since it is smaller than the sum of its proper divisors (16157712).

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

8409168 is a wasteful number, since it uses less digits than its factorization.

8409168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8409168 is about 2899.8565481761. The cubic root of 8409168 is about 203.3531994087.

The spelling of 8409168 in words is "eight million, four hundred nine thousand, one hundred sixty-eight".