1068144 has 120 divisors (see below), whose sum is σ = 3654528. Its totient is φ = 261120.

The previous prime is 1068131. The next prime is 1068149. The reversal of 1068144 is 4418601.

It is a super-2 number, since 2×1068144² = 2281863209472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62824 + ... + 62840.

2^1068144 is an apocalyptic number.

1068144 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 1068144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827264).

1068144 is an abundant number, since it is smaller than the sum of its proper divisors (2586384).

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

1068144 is a wasteful number, since it uses less digits than its factorization.

1068144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1068144 is about 1033.5105224428. The cubic root of 1068144 is about 102.2217398283.

It can be divided in two parts, 10681 and 44, that multiplied together give a palindrome (469964).

The spelling of 1068144 in words is "one million, sixty-eight thousand, one hundred forty-four".