8811144 has 48 divisors (see below), whose sum is σ = 24324300. Its totient is φ = 2880384.

The previous prime is 8811113. The next prime is 8811163. The reversal of 8811144 is 4411188.

It can be written as a sum of positive squares in 2 ways, for example, as 8054244 + 756900 = 2838^2 + 870^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2662 + ... + 4970.

Almost surely, 2^8811144 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 8811144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162150).

8811144 is an abundant number, since it is smaller than the sum of its proper divisors (15513156).

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

8811144 is a wasteful number, since it uses less digits than its factorization.

8811144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2367 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 8811144 is about 2968.3571213720. The cubic root of 8811144 is about 206.5431357962.

It can be divided in two parts, 881 and 1144, that added together give a square (2025 = 45²).

The spelling of 8811144 in words is "eight million, eight hundred eleven thousand, one hundred forty-four".