8481144 has 64 divisors (see below), whose sum is σ = 25516800. Its totient is φ = 2294784.

The previous prime is 8481139. The next prime is 8481149. The reversal of 8481144 is 4411848.

It is an interprime number because it is at equal distance from previous prime (8481139) and next prime (8481149).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8481149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1864 + ... + 4520.

It is an arithmetic number, because the mean of its divisors is an integer number (398700).

Almost surely, 2^8481144 is an apocalyptic number.

8481144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8481144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12758400).

8481144 is an abundant number, since it is smaller than the sum of its proper divisors (17035656).

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

8481144 is a wasteful number, since it uses less digits than its factorization.

8481144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2688 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 8481144 is about 2912.2403746944. The cubic root of 8481144 is about 203.9317341749.

The spelling of 8481144 in words is "eight million, four hundred eighty-one thousand, one hundred forty-four".