1330829568 has 72 divisors (see below), whose sum is σ = 3935517600. Its totient is φ = 443607552.

The previous prime is 1330829557. The next prime is 1330829569. The reversal of 1330829568 is 8659280331.

It is a happy number.

1330829568 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 82 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1330829568² = 3542214678126133248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330829569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 89358 + ... + 103181.

Almost surely, 2^1330829568 is an apocalyptic number.

1330829568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1330829568 is an abundant number, since it is smaller than the sum of its proper divisors (2604688032).

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

1330829568 is an equidigital number, since it uses as much as digits as its factorization.

1330829568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192564 (or 192544 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1330829568 is about 36480.5368381552. The cubic root of 1330829568 is about 1099.9530470317.

The spelling of 1330829568 in words is "one billion, three hundred thirty million, eight hundred twenty-nine thousand, five hundred sixty-eight".