1004887072 has 96 divisors (see below), whose sum is σ = 2384363520. Its totient is φ = 407773440.

The previous prime is 1004887063. The next prime is 1004887087. The reversal of 1004887072 is 2707884001.

1004887072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324829 + ... + 327907.

It is an arithmetic number, because the mean of its divisors is an integer number (24837120).

Almost surely, 2^1004887072 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 1004887072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192181760).

1004887072 is an abundant number, since it is smaller than the sum of its proper divisors (1379476448).

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

1004887072 is a wasteful number, since it uses less digits than its factorization.

1004887072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 1004887072 is about 31699.9538170011. The cubic root of 1004887072 is about 1001.6263774624.

The spelling of 1004887072 in words is "one billion, four million, eight hundred eighty-seven thousand, seventy-two".