8430144 has 84 divisors (see below), whose sum is σ = 23597616. Its totient is φ = 2655488.

The previous prime is 8430143. The next prime is 8430151. The reversal of 8430144 is 4410348.

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

It is not an unprimeable number, because it can be changed into a prime (8430143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101527 + ... + 101609.

It is an arithmetic number, because the mean of its divisors is an integer number (280924).

Almost surely, 2^8430144 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 8430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11798808).

8430144 is an abundant number, since it is smaller than the sum of its proper divisors (15167472).

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

8430144 is a wasteful number, since it uses less digits than its factorization.

8430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8430144 is about 2903.4710262029. The cubic root of 8430144 is about 203.5221418033.

The spelling of 8430144 in words is "eight million, four hundred thirty thousand, one hundred forty-four".