1127730240 has 504 divisors, whose sum is σ = 4814791488. Its totient is φ = 237219840.

The previous prime is 1127730239. The next prime is 1127730257. The reversal of 1127730240 is 420377211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

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, 3406875 + ... + 3407205.

Almost surely, 2^1127730240 is an apocalyptic number.

1127730240 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 1127730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407395744).

1127730240 is an abundant number, since it is smaller than the sum of its proper divisors (3687061248).

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

1127730240 is a wasteful number, since it uses less digits than its factorization.

1127730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1127730240 is about 33581.6950138018. The cubic root of 1127730240 is about 1040.8825841265.

The spelling of 1127730240 in words is "one billion, one hundred twenty-seven million, seven hundred thirty thousand, two hundred forty".