1133004960 has 144 divisors (see below), whose sum is σ = 4069971360. Its totient is φ = 286225920.

The previous prime is 1133004959. The next prime is 1133004989. The reversal of 1133004960 is 694003311.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6655 + ... + 48065.

It is an arithmetic number, because the mean of its divisors is an integer number (28263690).

Almost surely, 2^1133004960 is an apocalyptic number.

1133004960 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 1133004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034985680).

1133004960 is an abundant number, since it is smaller than the sum of its proper divisors (2936966400).

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

1133004960 is a wasteful number, since it uses less digits than its factorization.

1133004960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41451 (or 41440 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1133004960 is about 33660.1390371460. The cubic root of 1133004960 is about 1042.5028966674.

The spelling of 1133004960 in words is "one billion, one hundred thirty-three million, four thousand, nine hundred sixty".