1838304 has 72 divisors (see below), whose sum is σ = 5641272. Its totient is φ = 564480.

The previous prime is 1838299. The next prime is 1838327. The reversal of 1838304 is 4038381.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3499 + ... + 3989.

It is an arithmetic number, because the mean of its divisors is an integer number (78351).

2^1838304 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 1838304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820636).

1838304 is an abundant number, since it is smaller than the sum of its proper divisors (3802968).

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

1838304 is a wasteful number, since it uses less digits than its factorization.

1838304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1838304 is about 1355.8406986073. The cubic root of 1838304 is about 122.5008524167.

The spelling of 1838304 in words is "one million, eight hundred thirty-eight thousand, three hundred four".