1327089312 has 96 divisors (see below), whose sum is σ = 3965189760. Its totient is φ = 431562240.

The previous prime is 1327089293. The next prime is 1327089317. The reversal of 1327089312 is 2139807231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1327089312² = 3522332084049266688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1327089317) 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, 16693 + ... + 54155.

It is an arithmetic number, because the mean of its divisors is an integer number (41304060).

Almost surely, 2^1327089312 is an apocalyptic number.

1327089312 is a gapful number since it is divisible by the number (12) 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 1327089312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982594880).

1327089312 is an abundant number, since it is smaller than the sum of its proper divisors (2638100448).

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

1327089312 is a wasteful number, since it uses less digits than its factorization.

1327089312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37523 (or 37509 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1327089312 is about 36429.2370493811. The cubic root of 1327089312 is about 1098.9216186400.

The spelling of 1327089312 in words is "one billion, three hundred twenty-seven million, eighty-nine thousand, three hundred twelve".