1327304000 has 112 divisors (see below), whose sum is σ = 3586130496. Its totient is φ = 482624000.

The previous prime is 1327303981. The next prime is 1327304003. The reversal of 1327304000 is 4037231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327304003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80459 + ... + 95541.

Almost surely, 2^1327304000 is an apocalyptic number.

1327304000 is a gapful number since it is divisible by the number (10) 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 1327304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793065248).

1327304000 is an abundant number, since it is smaller than the sum of its proper divisors (2258826496).

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

1327304000 is a wasteful number, since it uses less digits than its factorization.

1327304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15121 (or 15101 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 1327304000 is about 36432.1835744167. The cubic root of 1327304000 is about 1098.9808742759.

The spelling of 1327304000 in words is "one billion, three hundred twenty-seven million, three hundred four thousand".