1327188096 has 288 divisors, whose sum is σ = 4389683220. Its totient is φ = 383385600.

The previous prime is 1327188073. The next prime is 1327188097. The reversal of 1327188096 is 6908817231.

It can be written as a sum of positive squares in 6 ways, for example, as 795240000 + 531948096 = 28200^2 + 23064^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1327188096² = 3522856484328210432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327188097) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3309496 + ... + 3309896.

Almost surely, 2^1327188096 is an apocalyptic number.

1327188096 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 1327188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194841610).

1327188096 is an abundant number, since it is smaller than the sum of its proper divisors (3062495124).

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

1327188096 is a wasteful number, since it uses less digits than its factorization.

1327188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1327188096 is about 36430.5928582009. The cubic root of 1327188096 is about 1098.9488846219.

The spelling of 1327188096 in words is "one billion, three hundred twenty-seven million, one hundred eighty-eight thousand, ninety-six".