1138360320 has 216 divisors, whose sum is σ = 3966747876. Its totient is φ = 301989888.

The previous prime is 1138360303. The next prime is 1138360339. The reversal of 1138360320 is 230638311.

It is a happy number.

1138360320 is a `hidden beast` number, since 1 + 1 + 38 + 3 + 603 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1090584576 + 47775744 = 33024^2 + 6912^2 .

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, 5898144 + ... + 5898336.

Almost surely, 2^1138360320 is an apocalyptic number.

1138360320 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 1138360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983373938).

1138360320 is an abundant number, since it is smaller than the sum of its proper divisors (2828387556).

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

1138360320 is an frugal number, since it uses more digits than its factorization.

1138360320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1138360320 is about 33739.5957296468. The cubic root of 1138360320 is about 1044.1428438889.

Adding to 1138360320 its reverse (230638311), we get a palindrome (1368998631).

The spelling of 1138360320 in words is "one billion, one hundred thirty-eight million, three hundred sixty thousand, three hundred twenty".