1004891712 has 224 divisors, whose sum is σ = 3068872704. Its totient is φ = 287232000.

The previous prime is 1004891669. The next prime is 1004891759. The reversal of 1004891712 is 2171984001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6654837 + ... + 6654987.

Almost surely, 2^1004891712 is an apocalyptic number.

1004891712 is a gapful number since it is divisible by the number (12) 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 1004891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534436352).

1004891712 is an abundant number, since it is smaller than the sum of its proper divisors (2063980992).

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

1004891712 is a wasteful number, since it uses less digits than its factorization.

1004891712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 1004891712 is about 31700.0270031431. The cubic root of 1004891712 is about 1001.6279191080.

It can be divided in two parts, 100489 and 1712, that added together give a palindrome (102201).

The spelling of 1004891712 in words is "one billion, four million, eight hundred ninety-one thousand, seven hundred twelve".