1002144 has 96 divisors (see below), whose sum is σ = 3132864. Its totient is φ = 276480.

The previous prime is 1002143. The next prime is 1002149. The reversal of 1002144 is 4412001.

1002144 = T₁₄₄ + T₁₄₅ + ... + T₂₀₇.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002143) 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, 13692 + ... + 13764.

It is an arithmetic number, because the mean of its divisors is an integer number (32634).

2^1002144 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 1002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566432).

1002144 is an abundant number, since it is smaller than the sum of its proper divisors (2130720).

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

1002144 is a wasteful number, since it uses less digits than its factorization.

1002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1002144 is about 1001.0714260231. The cubic root of 1002144 is about 100.0714156526.

Adding to 1002144 its reverse (4412001), we get a palindrome (5414145).

The spelling of 1002144 in words is "one million, two thousand, one hundred forty-four".