1820224 has 56 divisors (see below), whose sum is σ = 4389120. Its totient is φ = 731136.

The previous prime is 1820213. The next prime is 1820237. The reversal of 1820224 is 4220281.

1820224 = T₁₁₂ + T₁₁₃ + ... + T₂₃₀.

It is a tau number, because it is divible by the number of its divisors (56).

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, 7497 + ... + 7735.

2^1820224 is an apocalyptic number.

1820224 is a gapful number since it is divisible by the number (14) 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 1820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

1820224 is an abundant number, since it is smaller than the sum of its proper divisors (2568896).

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

1820224 is a wasteful number, since it uses less digits than its factorization.

1820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1820224 is about 1349.1567736924. The cubic root of 1820224 is about 122.0979237093.

The spelling of 1820224 in words is "one million, eight hundred twenty thousand, two hundred twenty-four".