1327714816 has 40 divisors (see below), whose sum is σ = 2682735660. Its totient is φ = 656375808.

The previous prime is 1327714811. The next prime is 1327714823. The reversal of 1327714816 is 6184177231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1317980416 + 9734400 = 36304^2 + 3120^2 .

It is not an unprimeable number, because it can be changed into a prime (1327714811) 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 3 ways as a sum of consecutive naturals, for example, 31000 + ... + 60136.

Almost surely, 2^1327714816 is an apocalyptic number.

1327714816 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 1327714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341367830).

1327714816 is an abundant number, since it is smaller than the sum of its proper divisors (1355020844).

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

1327714816 is an frugal number, since it uses more digits than its factorization.

1327714816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29244 (or 29228 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The square root of 1327714816 is about 36437.8212301449. The cubic root of 1327714816 is about 1099.0942450273.

The spelling of 1327714816 in words is "one billion, three hundred twenty-seven million, seven hundred fourteen thousand, eight hundred sixteen".