1133581680 has 720 divisors, whose sum is σ = 5080817664. Its totient is φ = 223534080.

The previous prime is 1133581679. The next prime is 1133581693. The reversal of 1133581680 is 861853311.

1133581680 is a `hidden beast` number, since 1 + 13 + 3 + 581 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8925777 + ... + 8925903.

Almost surely, 2^1133581680 is an apocalyptic number.

1133581680 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 1133581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540408832).

1133581680 is an abundant number, since it is smaller than the sum of its proper divisors (3947235984).

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

1133581680 is a wasteful number, since it uses less digits than its factorization.

1133581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1133581680 is about 33668.7047567916. The cubic root of 1133581680 is about 1042.6797509349.

The spelling of 1133581680 in words is "one billion, one hundred thirty-three million, five hundred eighty-one thousand, six hundred eighty".