1338204 has 48 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 375936.

The previous prime is 1338167. The next prime is 1338217. The reversal of 1338204 is 4028331.

1338204 = T₁₂₇ + T₁₂₈ + ... + T₂₁₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7387 + ... + 7565.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^1338204 is an apocalyptic number.

1338204 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 1338204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1338204 is an abundant number, since it is smaller than the sum of its proper divisors (2290596).

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

1338204 is a wasteful number, since it uses less digits than its factorization.

1338204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1338204 is about 1156.8076763231. The cubic root of 1338204 is about 110.1981003248.

The spelling of 1338204 in words is "one million, three hundred thirty-eight thousand, two hundred four".