1005328336 has 20 divisors (see below), whose sum is σ = 1969712100. Its totient is φ = 497015552.

The previous prime is 1005328319. The next prime is 1005328381. The reversal of 1005328336 is 6338235001.

It can be written as a sum of positive squares in 2 ways, for example, as 598095936 + 407232400 = 24456^2 + 20180^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1005328298 and 1005328307.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 351571 + ... + 354418.

It is an arithmetic number, because the mean of its divisors is an integer number (98485605).

Almost surely, 2^1005328336 is an apocalyptic number.

1005328336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1005328336 is a deficient number, since it is larger than the sum of its proper divisors (964383764).

1005328336 is an equidigital number, since it uses as much as digits as its factorization.

1005328336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706086 (or 706080 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 1005328336 is about 31706.9130632422. The cubic root of 1005328336 is about 1001.7729667312.

The spelling of 1005328336 in words is "one billion, five million, three hundred twenty-eight thousand, three hundred thirty-six".