8411144 has 48 divisors (see below), whose sum is σ = 18810000. Its totient is φ = 3513888.

The previous prime is 8411119. The next prime is 8411149. The reversal of 8411144 is 4411148.

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

It is not an unprimeable number, because it can be changed into a prime (8411149) by changing a digit.

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, 16607 + ... + 17105.

It is an arithmetic number, because the mean of its divisors is an integer number (391875).

Almost surely, 2^8411144 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 8411144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9405000).

8411144 is an abundant number, since it is smaller than the sum of its proper divisors (10398856).

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

8411144 is a wasteful number, since it uses less digits than its factorization.

8411144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 8411144 is about 2900.1972346722. The cubic root of 8411144 is about 203.3691262500.

The spelling of 8411144 in words is "eight million, four hundred eleven thousand, one hundred forty-four".