8829144 has 48 divisors (see below), whose sum is σ = 24102000. Its totient is φ = 2919744.

The previous prime is 8829143. The next prime is 8829151. The reversal of 8829144 is 4419288.

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 = 8829099 and 8829108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8829143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10317 + ... + 11139.

It is an arithmetic number, because the mean of its divisors is an integer number (502125).

Almost surely, 2^8829144 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 8829144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12051000).

8829144 is an abundant number, since it is smaller than the sum of its proper divisors (15272856).

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

8829144 is a wasteful number, since it uses less digits than its factorization.

8829144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 977 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8829144 is about 2971.3875546620. The cubic root of 8829144 is about 206.6836868859.

The spelling of 8829144 in words is "eight million, eight hundred twenty-nine thousand, one hundred forty-four".