1127232960 has 448 divisors, whose sum is σ = 4325916672. Its totient is φ = 243339264.

The previous prime is 1127232959. The next prime is 1127233021. The reversal of 1127232960 is 692327211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1127232960² = 2541308292220723200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13581079 + ... + 13581161.

It is an arithmetic number, because the mean of its divisors is an integer number (9656064).

Almost surely, 2^1127232960 is an apocalyptic number.

1127232960 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 1127232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162958336).

1127232960 is an abundant number, since it is smaller than the sum of its proper divisors (3198683712).

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

1127232960 is a wasteful number, since it uses less digits than its factorization.

1127232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1127232960 is about 33574.2901637548. The cubic root of 1127232960 is about 1040.7295669797.

The spelling of 1127232960 in words is "one billion, one hundred twenty-seven million, two hundred thirty-two thousand, nine hundred sixty".