1329906816 has 128 divisors (see below), whose sum is σ = 4485878400. Its totient is φ = 379966464.

The previous prime is 1329906803. The next prime is 1329906817. The reversal of 1329906816 is 6186099231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1329906817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3295 + ... + 51678.

It is an arithmetic number, because the mean of its divisors is an integer number (35045925).

Almost surely, 2^1329906816 is an apocalyptic number.

1329906816 is a gapful number since it is divisible by the number (16) 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 1329906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242939200).

1329906816 is an abundant number, since it is smaller than the sum of its proper divisors (3155971584).

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

1329906816 is an equidigital number, since it uses as much as digits as its factorization.

1329906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55003 (or 54985 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1329906816 is about 36467.8874628076. The cubic root of 1329906816 is about 1099.6987648972.

The spelling of 1329906816 in words is "one billion, three hundred twenty-nine million, nine hundred six thousand, eight hundred sixteen".