8838144 has 132 divisors (see below), whose sum is σ = 29378544. Its totient is φ = 2506752.

The previous prime is 8838133. The next prime is 8838161. The reversal of 8838144 is 4418388.

It is a super-2 number, since 2×8838144² = 156225578729472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 8838099 and 8838108.

It is a congruent number.

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, 64444 + ... + 64580.

Almost surely, 2^8838144 is an apocalyptic number.

8838144 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 8838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689272).

8838144 is an abundant number, since it is smaller than the sum of its proper divisors (20540400).

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

8838144 is a wasteful number, since it uses less digits than its factorization.

8838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 8838144 is about 2972.9016129028. The cubic root of 8838144 is about 206.7538908034.

The spelling of 8838144 in words is "eight million, eight hundred thirty-eight thousand, one hundred forty-four".