1133307904 has 72 divisors (see below), whose sum is σ = 2321349030. Its totient is φ = 553140224.

The previous prime is 1133307863. The next prime is 1133307919. The reversal of 1133307904 is 4097033311.

It can be written as a sum of positive squares in 3 ways, for example, as 1105429504 + 27878400 = 33248^2 + 5280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5752734 + ... + 5752930.

Almost surely, 2^1133307904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133307904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160674515).

1133307904 is an abundant number, since it is smaller than the sum of its proper divisors (1188041126).

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

1133307904 is an frugal number, since it uses more digits than its factorization.

1133307904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 1133307904 is about 33664.6387772095. The cubic root of 1133307904 is about 1042.5958035433.

The spelling of 1133307904 in words is "one billion, one hundred thirty-three million, three hundred seven thousand, nine hundred four".