1127712768 has 192 divisors, whose sum is σ = 3702142080. Its totient is φ = 297271296.

The previous prime is 1127712743. The next prime is 1127712791. The reversal of 1127712768 is 8672177211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1127712768² = 2543472174220443648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558096 + ... + 560112.

It is an arithmetic number, because the mean of its divisors is an integer number (19281990).

Almost surely, 2^1127712768 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 1127712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851071040).

1127712768 is an abundant number, since it is smaller than the sum of its proper divisors (2574429312).

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

1127712768 is a wasteful number, since it uses less digits than its factorization.

1127712768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2042 counting only the distinct ones).

The product of its digits is 65856, while the sum is 42.

The square root of 1127712768 is about 33581.4348710712. The cubic root of 1127712768 is about 1040.8772086109.

Adding to 1127712768 its reverse (8672177211), we get a palindrome (9799889979).

The spelling of 1127712768 in words is "one billion, one hundred twenty-seven million, seven hundred twelve thousand, seven hundred sixty-eight".