1004889216 has 128 divisors (see below), whose sum is σ = 2771184960. Its totient is φ = 322375680.

The previous prime is 1004889209. The next prime is 1004889247. The reversal of 1004889216 is 6129884001.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1519926 + ... + 1520586.

Almost surely, 2^1004889216 is an apocalyptic number.

1004889216 is a gapful number since it is divisible by the number (16) 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 1004889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385592480).

1004889216 is an abundant number, since it is smaller than the sum of its proper divisors (1766295744).

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

1004889216 is a wasteful number, since it uses less digits than its factorization.

1004889216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1004889216 is about 31699.9876340670. The cubic root of 1004889216 is about 1001.6270898096.

The spelling of 1004889216 in words is "one billion, four million, eight hundred eighty-nine thousand, two hundred sixteen".