1327680 has 84 divisors (see below), whose sum is σ = 4576572. Its totient is φ = 353280.

The previous prime is 1327679. The next prime is 1327709. The reversal of 1327680 is 867231.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 876096 = 672^2 + 936^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2650 + ... + 3110.

It is an arithmetic number, because the mean of its divisors is an integer number (54483).

2^1327680 is an apocalyptic number.

1327680 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 1327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288286).

1327680 is an abundant number, since it is smaller than the sum of its proper divisors (3248892).

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

1327680 is a wasteful number, since it uses less digits than its factorization.

1327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1327680 is about 1152.2499728791. The cubic root of 1327680 is about 109.9084637944.

The spelling of 1327680 in words is "one million, three hundred twenty-seven thousand, six hundred eighty".