8466144 has 48 divisors (see below), whose sum is σ = 22997520. Its totient is φ = 2723840.

The previous prime is 8466121. The next prime is 8466179. The reversal of 8466144 is 4416648.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1264 + ... + 4304.

It is an arithmetic number, because the mean of its divisors is an integer number (479115).

Almost surely, 2^8466144 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 8466144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498760).

8466144 is an abundant number, since it is smaller than the sum of its proper divisors (14531376).

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

8466144 is a wasteful number, since it uses less digits than its factorization.

8466144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3075 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 8466144 is about 2909.6638981161. The cubic root of 8466144 is about 203.8114366778.

The spelling of 8466144 in words is "eight million, four hundred sixty-six thousand, one hundred forty-four".