1827120 has 80 divisors (see below), whose sum is σ = 5928192. Its totient is φ = 464640.

The previous prime is 1827107. The next prime is 1827127. The reversal of 1827120 is 217281.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1827127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5355 + ... + 5685.

2^1827120 is an apocalyptic number.

1827120 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 1827120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964096).

1827120 is an abundant number, since it is smaller than the sum of its proper divisors (4101072).

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

1827120 is a wasteful number, since it uses less digits than its factorization.

1827120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1827120 is about 1351.7100280755. The cubic root of 1827120 is about 122.2519205456.

The spelling of 1827120 in words is "one million, eight hundred twenty-seven thousand, one hundred twenty".