1133226880 has 128 divisors (see below), whose sum is σ = 2922544800. Its totient is φ = 418775040.

The previous prime is 1133226877. The next prime is 1133226889. The reversal of 1133226880 is 886223311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133226889) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 497424 + ... + 499696.

Almost surely, 2^1133226880 is an apocalyptic number.

1133226880 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 1133226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461272400).

1133226880 is an abundant number, since it is smaller than the sum of its proper divisors (1789317920).

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

1133226880 is a wasteful number, since it uses less digits than its factorization.

1133226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1133226880 is about 33663.4353564814. The cubic root of 1133226880 is about 1042.5709567224.

The spelling of 1133226880 in words is "one billion, one hundred thirty-three million, two hundred twenty-six thousand, eight hundred eighty".