1338144 has 48 divisors (see below), whose sum is σ = 3592512. Its totient is φ = 435968.

The previous prime is 1338109. The next prime is 1338167. The reversal of 1338144 is 4418331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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, 4957 + ... + 5219.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

2^1338144 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 1338144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796256).

1338144 is an abundant number, since it is smaller than the sum of its proper divisors (2254368).

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

1338144 is a wasteful number, since it uses less digits than its factorization.

1338144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1338144 is about 1156.7817425945. The cubic root of 1338144 is about 110.1964533451.

The spelling of 1338144 in words is "one million, three hundred thirty-eight thousand, one hundred forty-four".