8642112 has 112 divisors (see below), whose sum is σ = 25359360. Its totient is φ = 2585088.

The previous prime is 8642111. The next prime is 8642119. The reversal of 8642112 is 2112468.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (8642111) 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, 83853 + ... + 83955.

Almost surely, 2^8642112 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 8642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12679680).

8642112 is an abundant number, since it is smaller than the sum of its proper divisors (16717248).

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

8642112 is a wasteful number, since it uses less digits than its factorization.

8642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 8642112 is about 2939.7469278834. The cubic root of 8642112 is about 205.2138320038.

The spelling of 8642112 in words is "eight million, six hundred forty-two thousand, one hundred twelve".