8834112 has 126 divisors (see below), whose sum is σ = 29549598. Its totient is φ = 2515968.

The previous prime is 8834087. The next prime is 8834117. The reversal of 8834112 is 2114388.

It can be written as a sum of positive squares in only one way, i.e., 4769856 + 4064256 = 2184^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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 (8834117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28068 + ... + 28380.

Almost surely, 2^8834112 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 8834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774799).

8834112 is an abundant number, since it is smaller than the sum of its proper divisors (20715486).

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

8834112 is a wasteful number, since it uses less digits than its factorization.

8834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 8834112 is about 2972.2234101763. The cubic root of 8834112 is about 206.7224453442.

The spelling of 8834112 in words is "eight million, eight hundred thirty-four thousand, one hundred twelve".