1130863680 has 168 divisors, whose sum is σ = 4034040192. Its totient is φ = 301542912.

The previous prime is 1130863673. The next prime is 1130863693. The reversal of 1130863680 is 863680311.

1130863680 is a `hidden beast` number, since 1 + 13 + 0 + 8 + 636 + 8 + 0 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 70489 + ... + 85031.

It is an arithmetic number, because the mean of its divisors is an integer number (24012144).

Almost surely, 2^1130863680 is an apocalyptic number.

1130863680 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 1130863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017020096).

1130863680 is an abundant number, since it is smaller than the sum of its proper divisors (2903176512).

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

1130863680 is an equidigital number, since it uses as much as digits as its factorization.

1130863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14575 (or 14553 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1130863680 is about 33628.3166394038. The cubic root of 1130863680 is about 1041.8457361554.

The spelling of 1130863680 in words is "one billion, one hundred thirty million, eight hundred sixty-three thousand, six hundred eighty".