1768289985 has 96 divisors (see below), whose sum is σ = 3844039680. Its totient is φ = 730512000.

The previous prime is 1768289983. The next prime is 1768289987. The reversal of 1768289985 is 5899828671.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1768289983) and next prime (1768289987).

It is not a de Polignac number, because 1768289985 - 2¹ = 1768289983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1768289981) 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 95 ways as a sum of consecutive naturals, for example, 618810 + ... + 621660.

It is an arithmetic number, because the mean of its divisors is an integer number (40042080).

Almost surely, 2^1768289985 is an apocalyptic number.

1768289985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1768289985 is an abundant number, since it is smaller than the sum of its proper divisors (2075749695).

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

1768289985 is a wasteful number, since it uses less digits than its factorization.

1768289985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3056 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The square root of 1768289985 is about 42051.0402368360. The cubic root of 1768289985 is about 1209.2548254283.

The spelling of 1768289985 in words is "one billion, seven hundred sixty-eight million, two hundred eighty-nine thousand, nine hundred eighty-five".