1127433216 has 352 divisors, whose sum is σ = 3833294080. Its totient is φ = 286654464.

The previous prime is 1127433193. The next prime is 1127433257. The reversal of 1127433216 is 6123347211.

It is a happy number.

It is a super-2 number, since 2×1127433216² = 2542211313080205312, which contains 22 as substring.

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

Its product of digits (6048) is a multiple of the sum of its prime factors (189).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10343370 + ... + 10343478.

It is an arithmetic number, because the mean of its divisors is an integer number (10890040).

Almost surely, 2^1127433216 is an apocalyptic number.

1127433216 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 1127433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916647040).

1127433216 is an abundant number, since it is smaller than the sum of its proper divisors (2705860864).

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

1127433216 is a wasteful number, since it uses less digits than its factorization.

1127433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 1127433216 is about 33577.2723132776. The cubic root of 1127433216 is about 1040.7911928095.

The spelling of 1127433216 in words is "one billion, one hundred twenty-seven million, four hundred thirty-three thousand, two hundred sixteen".