1127468160 has 640 divisors, whose sum is σ = 4976294400. Its totient is φ = 236888064.

The previous prime is 1127468149. The next prime is 1127468183. The reversal of 1127468160 is 618647211.

It is a happy number.

1127468160 is a `hidden beast` number, since 11 + 27 + 468 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717321 + ... + 4717559.

It is an arithmetic number, because the mean of its divisors is an integer number (7775460).

Almost surely, 2^1127468160 is an apocalyptic number.

1127468160 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 1127468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488147200).

1127468160 is an abundant number, since it is smaller than the sum of its proper divisors (3848826240).

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

1127468160 is a wasteful number, since it uses less digits than its factorization.

1127468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1127468160 is about 33577.7926612218. The cubic root of 1127468160 is about 1040.8019455622.

The spelling of 1127468160 in words is "one billion, one hundred twenty-seven million, four hundred sixty-eight thousand, one hundred sixty".