1004112704 has 168 divisors, whose sum is σ = 2450546280. Its totient is φ = 406425600.

The previous prime is 1004112691. The next prime is 1004112713. The reversal of 1004112704 is 4072114001.

1004112704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 55472704 + 948640000 = 7448^2 + 30800^2 .

It is a congruent number.

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, 5547494 + ... + 5547674.

It is an arithmetic number, because the mean of its divisors is an integer number (14586585).

Almost surely, 2^1004112704 is an apocalyptic number.

1004112704 is a gapful number since it is divisible by the number (14) 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 1004112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225273140).

1004112704 is an abundant number, since it is smaller than the sum of its proper divisors (1446433576).

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

1004112704 is a wasteful number, since it uses less digits than its factorization.

1004112704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1004112704 is about 31687.7374389526. The cubic root of 1004112704 is about 1001.3690262452.

Adding to 1004112704 its reverse (4072114001), we get a palindrome (5076226705).

The spelling of 1004112704 in words is "one billion, four million, one hundred twelve thousand, seven hundred four".