1127308896 has 432 divisors, whose sum is σ = 4087190016. Its totient is φ = 292626432.

The previous prime is 1127308891. The next prime is 1127308937. The reversal of 1127308896 is 6988037211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127308891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8876385 + ... + 8876511.

It is an arithmetic number, because the mean of its divisors is an integer number (9461088).

Almost surely, 2^1127308896 is an apocalyptic number.

1127308896 is a gapful number since it is divisible by the number (16) 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 1127308896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043595008).

1127308896 is an abundant number, since it is smaller than the sum of its proper divisors (2959881120).

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

1127308896 is a wasteful number, since it uses less digits than its factorization.

1127308896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1127308896 is about 33575.4210100186. The cubic root of 1127308896 is about 1040.7529360225.

The spelling of 1127308896 in words is "one billion, one hundred twenty-seven million, three hundred eight thousand, eight hundred ninety-six".