1133275680 has 288 divisors, whose sum is σ = 4075868160. Its totient is φ = 286341120.

The previous prime is 1133275669. The next prime is 1133275697. The reversal of 1133275680 is 865723311.

It is a tau number, because it is divible by the number of its divisors (288).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365681 + ... + 2366159.

It is an arithmetic number, because the mean of its divisors is an integer number (14152320).

Almost surely, 2^1133275680 is an apocalyptic number.

1133275680 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 1133275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037934080).

1133275680 is an abundant number, since it is smaller than the sum of its proper divisors (2942592480).

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

1133275680 is a wasteful number, since it uses less digits than its factorization.

1133275680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1133275680 is about 33664.1601707216. The cubic root of 1133275680 is about 1042.5859218729.

Adding to 1133275680 its reverse (865723311), we get a palindrome (1998998991).

The spelling of 1133275680 in words is "one billion, one hundred thirty-three million, two hundred seventy-five thousand, six hundred eighty".