1054144 has 56 divisors (see below), whose sum is σ = 2588768. Its totient is φ = 414720.

The previous prime is 1054133. The next prime is 1054169. The reversal of 1054144 is 4414501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1054144² = 2222439145472, which contains 22 as substring.

It is an Ulam number.

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, 5734 + ... + 5914.

It is an arithmetic number, because the mean of its divisors is an integer number (46228).

2^1054144 is an apocalyptic number.

1054144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294384).

1054144 is an abundant number, since it is smaller than the sum of its proper divisors (1534624).

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

1054144 is a wasteful number, since it uses less digits than its factorization.

1054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1054144 is about 1026.7151503703. The cubic root of 1054144 is about 101.7731727472.

Adding to 1054144 its reverse (4414501), we get a palindrome (5468645).

It can be divided in two parts, 10541 and 44, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 1054144 in words is "one million, fifty-four thousand, one hundred forty-four".