1327988736 has 256 divisors, whose sum is σ = 4194240000. Its totient is φ = 414056448.

The previous prime is 1327988731. The next prime is 1327988749. The reversal of 1327988736 is 6378897231.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327988731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16809945 + ... + 16810023.

It is an arithmetic number, because the mean of its divisors is an integer number (16383750).

Almost surely, 2^1327988736 is an apocalyptic number.

1327988736 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 1327988736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097120000).

1327988736 is an abundant number, since it is smaller than the sum of its proper divisors (2866251264).

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

1327988736 is an frugal number, since it uses more digits than its factorization.

1327988736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 1327988736 is about 36441.5797681714. The cubic root of 1327988736 is about 1099.1698243084.

The spelling of 1327988736 in words is "one billion, three hundred twenty-seven million, nine hundred eighty-eight thousand, seven hundred thirty-six".