1327104000 has 360 divisors, whose sum is σ = 4948211268. Its totient is φ = 353894400.

The previous prime is 1327103959. The next prime is 1327104007. The reversal of 1327104000 is 4017231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)² ⋅ (2!)⁷.

It can be written as a sum of positive squares in 2 ways, for example, as 897122304 + 429981696 = 29952^2 + 20736^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1327104000² = 3522410053632000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1327104007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 265420798 + ... + 265420802.

Almost surely, 2^1327104000 is an apocalyptic number.

1327104000 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 1327104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474105634).

1327104000 is an abundant number, since it is smaller than the sum of its proper divisors (3621107268).

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

1327104000 is an frugal number, since it uses more digits than its factorization.

1327104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1327104000 is about 36429.4386451397. The cubic root of 1327104000 is about 1098.9256728512.

Multiplying 1327104000 by its sum of digits (18), we get a cube (23887872000 = 2880³).

The spelling of 1327104000 in words is "one billion, three hundred twenty-seven million, one hundred four thousand".