1327768 has 32 divisors (see below), whose sum is σ = 2842560. Its totient is φ = 576000.

The previous prime is 1327759. The next prime is 1327769. The reversal of 1327768 is 8677231.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327769) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1393 + ... + 2143.

It is an arithmetic number, because the mean of its divisors is an integer number (88830).

2^1327768 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 1327768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421280).

1327768 is an abundant number, since it is smaller than the sum of its proper divisors (1514792).

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

1327768 is a wasteful number, since it uses less digits than its factorization.

1327768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 783 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 1327768 is about 1152.2881584048. The cubic root of 1327768 is about 109.9108920229.

The spelling of 1327768 in words is "one million, three hundred twenty-seven thousand, seven hundred sixty-eight".