1327104 has 75 divisors (see below), whose sum is σ = 3964807.
Its totient is φ = 442368.
The previous prime is 1327099. The next prime is 1327111. The reversal of 1327104 is 4017231.
The square root of 1327104 is 1152.
It is a perfect power (a square), and thus also a powerful number.
It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (2!)2.
It is an ABA number since it can be written as A⋅BA, here for A=4, B=24.
It is a super-2 number, since 2×13271042 = 3522410053632, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Duffinian number.
It is a nialpdrome in base 12.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 442367 + 442368 + 442369.
21327104 is an apocalyptic number.
1327104 is the 1152-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1327104
1327104 is an abundant number, since it is smaller than the sum of its proper divisors (2637703).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1327104 is an frugal number, since it uses more digits than its factorization.
1327104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The cubic root of 1327104 is about 109.8925672851.
Multiplying 1327104 by its sum of digits (18), we get a cube (23887872 = 2883).
It can be divided in two parts, 1327 and 104, that added together give a triangular number (1431 = T53).
The spelling of 1327104 in words is "one million, three hundred twenty-seven thousand, one hundred four".