1014144 has 64 divisors (see below), whose sum is σ = 2856000. Its totient is φ = 317952.

The previous prime is 1014137. The next prime is 1014149. The reversal of 1014144 is 4414101.

1014144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7227 + ... + 7365.

It is an arithmetic number, because the mean of its divisors is an integer number (44625).

2^1014144 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 1014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428000).

1014144 is an abundant number, since it is smaller than the sum of its proper divisors (1841856).

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

1014144 is a wasteful number, since it uses less digits than its factorization.

1014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1014144 is about 1007.0471687066. The cubic root of 1014144 is about 100.4692611618.

Adding to 1014144 its reverse (4414101), we get a palindrome (5428245).

The spelling of 1014144 in words is "one million, fourteen thousand, one hundred forty-four".