1138320 has 160 divisors (see below), whose sum is σ = 4285440. Its totient is φ = 276480.

The previous prime is 1138273. The next prime is 1138363. The reversal of 1138320 is 238311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1138293 and 1138302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36705 + ... + 36735.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2^1138320 is an apocalyptic number.

1138320 is a gapful number since it is divisible by the number (10) 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 1138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142720).

1138320 is an abundant number, since it is smaller than the sum of its proper divisors (3147120).

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

1138320 is a wasteful number, since it uses less digits than its factorization.

1138320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1138320 is about 1066.9208030590. The cubic root of 1138320 is about 104.4130516118.

Subtracting from 1138320 its reverse (238311), we obtain a palindrome (900009).

The spelling of 1138320 in words is "one million, one hundred thirty-eight thousand, three hundred twenty".