1004161536 has 240 divisors, whose sum is σ = 3437738304. Its totient is φ = 286654464.

The previous prime is 1004161507. The next prime is 1004161553. The reversal of 1004161536 is 6351614001.

1004161536 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 615 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870336 + ... + 871488.

Almost surely, 2^1004161536 is an apocalyptic number.

1004161536 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 1004161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718869152).

1004161536 is an abundant number, since it is smaller than the sum of its proper divisors (2433576768).

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

1004161536 is an frugal number, since it uses more digits than its factorization.

1004161536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1004161536 is about 31688.5079484661. The cubic root of 1004161536 is about 1001.3852588385.

Adding to 1004161536 its reverse (6351614001), we get a palindrome (7355775537).

The spelling of 1004161536 in words is "one billion, four million, one hundred sixty-one thousand, five hundred thirty-six".