1127746368 has 336 divisors, whose sum is σ = 4065422400. Its totient is φ = 304819200.

The previous prime is 1127746363. The next prime is 1127746379. The reversal of 1127746368 is 8636477211.

1127746368 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 7 + 4 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1127746368³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127746363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1608418 + ... + 1609118.

Almost surely, 2^1127746368 is an apocalyptic number.

1127746368 is a gapful number since it is divisible by the number (18) 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 1127746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032711200).

1127746368 is an abundant number, since it is smaller than the sum of its proper divisors (2937676032).

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

1127746368 is a wasteful number, since it uses less digits than its factorization.

1127746368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 732 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1127746368 is about 33581.9351437644. The cubic root of 1127746368 is about 1040.8875460916.

The spelling of 1127746368 in words is "one billion, one hundred twenty-seven million, seven hundred forty-six thousand, three hundred sixty-eight".