1004217616 has 20 divisors (see below), whose sum is σ = 1967535900. Its totient is φ = 496466432.

The previous prime is 1004217611. The next prime is 1004217637. The reversal of 1004217616 is 6167124001.

1004217616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 247747600 + 756470016 = 15740^2 + 27504^2 .

It is not an unprimeable number, because it can be changed into a prime (1004217611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 351181 + ... + 354028.

It is an arithmetic number, because the mean of its divisors is an integer number (98376795).

Almost surely, 2^1004217616 is an apocalyptic number.

1004217616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004217616 is a deficient number, since it is larger than the sum of its proper divisors (963318284).

1004217616 is an equidigital number, since it uses as much as digits as its factorization.

1004217616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705306 (or 705300 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1004217616 is about 31689.3927994842. The cubic root of 1004217616 is about 1001.4039001421.

The spelling of 1004217616 in words is "one billion, four million, two hundred seventeen thousand, six hundred sixteen".