8444142 has 64 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 2376000.

The previous prime is 8444123. The next prime is 8444147. The reversal of 8444142 is 2414448.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8444147) 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 31 ways as a sum of consecutive naturals, for example, 33517 + ... + 33767.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 2^8444142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8444142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

8444142 is an abundant number, since it is smaller than the sum of its proper divisors (13328658).

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

8444142 is a wasteful number, since it uses less digits than its factorization.

8444142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 8444142 is about 2905.8805894255. The cubic root of 8444142 is about 203.6347269721.

The spelling of 8444142 in words is "eight million, four hundred forty-four thousand, one hundred forty-two".