1327120 has 40 divisors (see below), whose sum is σ = 3153816. Its totient is φ = 519168.

The previous prime is 1327111. The next prime is 1327133. The reversal of 1327120 is 217231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 1317904 = 96^2 + 1148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1327120² = 3522494988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1327094 and 1327103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4084 + ... + 4396.

2^1327120 is an apocalyptic number.

1327120 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 1327120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576908).

1327120 is an abundant number, since it is smaller than the sum of its proper divisors (1826696).

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

1327120 is a wasteful number, since it uses less digits than its factorization.

1327120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 1327120 is about 1152.0069444235. The cubic root of 1327120 is about 109.8930089169.

Subtracting from 1327120 its sum of digits (16), we obtain a square (1327104 = 1152²).

The spelling of 1327120 in words is "one million, three hundred twenty-seven thousand, one hundred twenty".