1338816 has 56 divisors (see below), whose sum is σ = 3738880. Its totient is φ = 421632.

The previous prime is 1338811. The next prime is 1338823. The reversal of 1338816 is 6188331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338811) 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, 3465 + ... + 3831.

2^1338816 is an apocalyptic number.

1338816 is a gapful number since it is divisible by the number (16) 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 1338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869440).

1338816 is an abundant number, since it is smaller than the sum of its proper divisors (2400064).

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

1338816 is a wasteful number, since it uses less digits than its factorization.

1338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 1338816 is about 1157.0721671529. The cubic root of 1338816 is about 110.2148967074.

The spelling of 1338816 in words is "one million, three hundred thirty-eight thousand, eight hundred sixteen".