1127340160 has 64 divisors (see below), whose sum is σ = 2706600600. Its totient is φ = 449003520.

The previous prime is 1127340143. The next prime is 1127340169. The reversal of 1127340160 is 610437211.

1127340160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 986965056 + 140375104 = 31416^2 + 11848^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1127340169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150586 + ... + 157894.

Almost surely, 2^1127340160 is an apocalyptic number.

1127340160 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 1127340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353300300).

1127340160 is an abundant number, since it is smaller than the sum of its proper divisors (1579260440).

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

1127340160 is an equidigital number, since it uses as much as digits as its factorization.

1127340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7569 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1127340160 is about 33575.8865854649. The cubic root of 1127340160 is about 1040.7625571059.

Adding to 1127340160 its reverse (610437211), we get a palindrome (1737777371).

The spelling of 1127340160 in words is "one billion, one hundred twenty-seven million, three hundred forty thousand, one hundred sixty".