8461344 has 48 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 2765568.

The previous prime is 8461339. The next prime is 8461361. The reversal of 8461344 is 4431648.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4257 + ... + 5919.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 2^8461344 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 8461344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856).

8461344 is an abundant number, since it is smaller than the sum of its proper divisors (14182368).

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

8461344 is a wasteful number, since it uses less digits than its factorization.

8461344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1721 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 8461344 is about 2908.8389436337. The cubic root of 8461344 is about 203.7729114712.

The spelling of 8461344 in words is "eight million, four hundred sixty-one thousand, three hundred forty-four".