1008144 has 30 divisors (see below), whose sum is σ = 2821806. Its totient is φ = 336000.

The previous prime is 1008131. The next prime is 1008157. The reversal of 1008144 is 4418001.

It is an interprime number because it is at equal distance from previous prime (1008131) and next prime (1008157).

It can be written as a sum of positive squares in only one way, i.e., 831744 + 176400 = 912^2 + 420^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3357 + ... + 3644.

2^1008144 is an apocalyptic number.

It is an amenable number.

1008144 is an abundant number, since it is smaller than the sum of its proper divisors (1813662).

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

1008144 is a wasteful number, since it uses less digits than its factorization.

1008144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7015 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1008144 is about 1004.0637429964. The cubic root of 1008144 is about 100.2707330414.

Subtracting from 1008144 its product of nonzero digits (128), we obtain a square (1008016 = 1004²).

The spelling of 1008144 in words is "one million, eight thousand, one hundred forty-four".