1327308840 has 768 divisors, whose sum is σ = 5660928000. Its totient is φ = 264591360.

The previous prime is 1327308799. The next prime is 1327308869. The reversal of 1327308840 is 488037231.

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

It is a junction number, because it is equal to n+sod(n) for n = 1327308795 and 1327308804.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22496731 + ... + 22496789.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^1327308840 is an apocalyptic number.

1327308840 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 1327308840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464000).

1327308840 is an abundant number, since it is smaller than the sum of its proper divisors (4333619160).

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

1327308840 is a wasteful number, since it uses less digits than its factorization.

1327308840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1327308840 is about 36432.2499991422. The cubic root of 1327308840 is about 1098.9822100817.

The spelling of 1327308840 in words is "one billion, three hundred twenty-seven million, three hundred eight thousand, eight hundred forty".