1327644 has 48 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 418608.

The previous prime is 1327631. The next prime is 1327673. The reversal of 1327644 is 4467231.

1327644 is a `hidden beast` number, since 13 + 2 + 7 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^1327644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1327644 is an abundant number, since it is smaller than the sum of its proper divisors (2301156).

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

1327644 is a wasteful number, since it uses less digits than its factorization.

1327644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 1327644 is about 1152.2343511630. The cubic root of 1327644 is about 109.9074703973.

It can be divided in two parts, 132 and 7644, that added together give a 5-th power (7776 = 6⁵).

The spelling of 1327644 in words is "one million, three hundred twenty-seven thousand, six hundred forty-four".