1005389768 has 16 divisors (see below), whose sum is σ = 1945916160. Its totient is φ = 486478800.

The previous prime is 1005389747. The next prime is 1005389779. The reversal of 1005389768 is 8679835001.

It is a happy 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, 2026748 + ... + 2027243.

It is an arithmetic number, because the mean of its divisors is an integer number (121619760).

Almost surely, 2^1005389768 is an apocalyptic number.

It is an amenable number.

1005389768 is a deficient number, since it is larger than the sum of its proper divisors (940526392).

1005389768 is a wasteful number, since it uses less digits than its factorization.

1005389768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054028 (or 4054024 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 1005389768 is about 31707.8817961718. The cubic root of 1005389768 is about 1001.7933712304.

The spelling of 1005389768 in words is "one billion, five million, three hundred eighty-nine thousand, seven hundred sixty-eight".