1838368 has 48 divisors (see below), whose sum is σ = 4294080. Its totient is φ = 758016.

The previous prime is 1838341. The next prime is 1838371. The reversal of 1838368 is 8638381.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6355 + ... + 6637.

It is an arithmetic number, because the mean of its divisors is an integer number (89460).

2^1838368 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 1838368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147040).

1838368 is an abundant number, since it is smaller than the sum of its proper divisors (2455712).

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

1838368 is a wasteful number, since it uses less digits than its factorization.

1838368 is an odious number, because the sum of its binary digits is odd.

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

The product of its digits is 27648, while the sum is 37.

The square root of 1838368 is about 1355.8642999947. The cubic root of 1838368 is about 122.5022740103.

The spelling of 1838368 in words is "one million, eight hundred thirty-eight thousand, three hundred sixty-eight".