1827200 has 48 divisors (see below), whose sum is σ = 4521660. Its totient is φ = 729600.

The previous prime is 1827197. The next prime is 1827209. The reversal of 1827200 is 27281.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2915 + ... + 3485.

2^1827200 is an apocalyptic number.

1827200 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 1827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260830).

1827200 is an abundant number, since it is smaller than the sum of its proper divisors (2694460).

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

1827200 is an equidigital number, since it uses as much as digits as its factorization.

1827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1827200 is about 1351.7396198973. The cubic root of 1827200 is about 122.2537047763.

The spelling of 1827200 in words is "one million, eight hundred twenty-seven thousand, two hundred".