1327332096 has 216 divisors, whose sum is σ = 4181369920. Its totient is φ = 418784256.

The previous prime is 1327332091. The next prime is 1327332101. The reversal of 1327332096 is 6902337231.

1327332096 is a `hidden beast` number, since 1 + 327 + 3 + 320 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1327332091) and next prime (1327332101).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1327332096.

It is not an unprimeable number, because it can be changed into a prime (1327332091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181391 + ... + 1182513.

Almost surely, 2^1327332096 is an apocalyptic number.

1327332096 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 1327332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090684960).

1327332096 is an abundant number, since it is smaller than the sum of its proper divisors (2854037824).

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

1327332096 is an equidigital number, since it uses as much as digits as its factorization.

1327332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 1327332096 is about 36432.5691655145. The cubic root of 1327332096 is about 1098.9886285278.

It can be divided in two parts, 13273 and 32096, that added together give a square (45369 = 213²).

The spelling of 1327332096 in words is "one billion, three hundred twenty-seven million, three hundred thirty-two thousand, ninety-six".