1330771968 has 288 divisors, whose sum is σ = 4231543680. Its totient is φ = 401080320.

The previous prime is 1330771943. The next prime is 1330771991. The reversal of 1330771968 is 8691770331.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 9713596 + ... + 9713732.

It is an arithmetic number, because the mean of its divisors is an integer number (14692860).

Almost surely, 2^1330771968 is an apocalyptic number.

1330771968 is a gapful number since it is divisible by the number (18) 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 1330771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115771840).

1330771968 is an abundant number, since it is smaller than the sum of its proper divisors (2900771712).

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

1330771968 is a wasteful number, since it uses less digits than its factorization.

1330771968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1330771968 is about 36479.7473675463. The cubic root of 1330771968 is about 1099.9371776794.

The spelling of 1330771968 in words is "one billion, three hundred thirty million, seven hundred seventy-one thousand, nine hundred sixty-eight".