1254144 has 72 divisors (see below), whose sum is σ = 3532032. Its totient is φ = 394240.

The previous prime is 1254137. The next prime is 1254151. The reversal of 1254144 is 4414521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1254137) and next prime (1254151).

It is a self number, because there is not a number n which added to its sum of digits gives 1254144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17629 + ... + 17699.

It is an arithmetic number, because the mean of its divisors is an integer number (49056).

2^1254144 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 1254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766016).

1254144 is an abundant number, since it is smaller than the sum of its proper divisors (2277888).

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

1254144 is an equidigital number, since it uses as much as digits as its factorization.

1254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 1254144 is about 1119.8857084542. The cubic root of 1254144 is about 107.8406428946.

Adding to 1254144 its reverse (4414521), we get a palindrome (5668665).

The spelling of 1254144 in words is "one million, two hundred fifty-four thousand, one hundred forty-four".