1004793216 has 96 divisors (see below), whose sum is σ = 3104792280. Its totient is φ = 287078400.

The previous prime is 1004793197. The next prime is 1004793217. The reversal of 1004793216 is 6123974001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004793217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7885 + ... + 45516.

Almost surely, 2^1004793216 is an apocalyptic number.

1004793216 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 1004793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552396140).

1004793216 is an abundant number, since it is smaller than the sum of its proper divisors (2099999064).

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

1004793216 is an equidigital number, since it uses as much as digits as its factorization.

1004793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53432 (or 53413 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1004793216 is about 31698.4734017271. The cubic root of 1004793216 is about 1001.5951926739.

The spelling of 1004793216 in words is "one billion, four million, seven hundred ninety-three thousand, two hundred sixteen".