1004837120 has 216 divisors, whose sum is σ = 2882174904. Its totient is φ = 334430208.

The previous prime is 1004837047. The next prime is 1004837129. The reversal of 1004837120 is 217384001.

It can be written as a sum of positive squares in 4 ways, for example, as 103876864 + 900960256 = 10192^2 + 30016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1004837120.

It is not an unprimeable number, because it can be changed into a prime (1004837129) 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 23 ways as a sum of consecutive naturals, for example, 2320424 + ... + 2320856.

Almost surely, 2^1004837120 is an apocalyptic number.

1004837120 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 1004837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441087452).

1004837120 is an abundant number, since it is smaller than the sum of its proper divisors (1877337784).

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

1004837120 is an equidigital number, since it uses as much as digits as its factorization.

1004837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1004837120 is about 31699.1659196263. The cubic root of 1004837120 is about 1001.6097805494.

The spelling of 1004837120 in words is "one billion, four million, eight hundred thirty-seven thousand, one hundred twenty".