1129826304 has 72 divisors (see below), whose sum is σ = 3263199030. Its totient is φ = 376602624.

The previous prime is 1129826303. The next prime is 1129826351. The reversal of 1129826304 is 4036289211.

1129826304 is a `hidden beast` number, since 1 + 12 + 9 + 8 + 2 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1046651904 + 83174400 = 32352^2 + 9120^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (1129826303) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 12217 + ... + 49080.

Almost surely, 2^1129826304 is an apocalyptic number.

It is an amenable number.

1129826304 is an abundant number, since it is smaller than the sum of its proper divisors (2133372726).

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

1129826304 is an equidigital number, since it uses as much as digits as its factorization.

1129826304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61325 (or 61302 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1129826304 is about 33612.8889564703. Note that the first 3 decimals coincide. The cubic root of 1129826304 is about 1041.5270663254.

The spelling of 1129826304 in words is "one billion, one hundred twenty-nine million, eight hundred twenty-six thousand, three hundred four".