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⋅B^{A}, here for A=4, B=24.

It is a super-2 number, since 2×1327104^{2} = 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.

2^{1327104} 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 = 288^{3}).

It can be divided in two parts, 1327 and 104, that added together give a triangular number (1431 = T_{53}).

The spelling of 1327104 in words is "one million, three hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 18432 20736 24576 27648 36864 41472 49152 55296 73728 82944 110592 147456 165888 221184 331776 442368 663552 1327104

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