1138368 has 126 divisors (see below), whose sum is σ = 3851148. Its totient is φ = 295680.

The previous prime is 1138367. The next prime is 1138369. The reversal of 1138368 is 8638311.

It is an interprime number because it is at equal distance from previous prime (1138367) and next prime (1138369).

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

It is not an unprimeable number, because it can be changed into a prime (1138363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103483 + ... + 103493.

2^1138368 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 1138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925574).

1138368 is an abundant number, since it is smaller than the sum of its proper divisors (2712780).

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

1138368 is a wasteful number, since it uses less digits than its factorization.

1138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

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

The square root of 1138368 is about 1066.9432974624. The cubic root of 1138368 is about 104.4145192003.

The spelling of 1138368 in words is "one million, one hundred thirty-eight thousand, three hundred sixty-eight".