1327200 has 144 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 299520.

The previous prime is 1327199. The next prime is 1327201. The reversal of 1327200 is 27231.

1327200 = 113² + 114² + ... + 175².

It is an interprime number because it is at equal distance from previous prime (1327199) and next prime (1327201).

It is a super-2 number, since 2×1327200² = 3522919680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1327200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16761 + ... + 16839.

It is an arithmetic number, because the mean of its divisors is an integer number (34720).

2^1327200 is an apocalyptic number.

1327200 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 1327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840).

1327200 is an abundant number, since it is smaller than the sum of its proper divisors (3672480).

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

1327200 is a wasteful number, since it uses less digits than its factorization.

1327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 1327200 is about 1152.0416659132. The cubic root of 1327200 is about 109.8952170227.

The spelling of 1327200 in words is "one million, three hundred twenty-seven thousand, two hundred".