1805120 has 28 divisors (see below), whose sum is σ = 4299204. Its totient is φ = 721920.

The previous prime is 1805117. The next prime is 1805123. The reversal of 1805120 is 215081.

It is an interprime number because it is at equal distance from previous prime (1805117) and next prime (1805123).

It can be written as a sum of positive squares in 2 ways, for example, as 1364224 + 440896 = 1168^2 + 664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1805123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2501 + ... + 3140.

It is an arithmetic number, because the mean of its divisors is an integer number (153543).

2^1805120 is an apocalyptic number.

1805120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1805120 is an abundant number, since it is smaller than the sum of its proper divisors (2494084).

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

1805120 is an equidigital number, since it uses as much as digits as its factorization.

1805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1805120 is about 1343.5475428879. The cubic root of 1805120 is about 121.7592672990.

It can be divided in two parts, 180 and 5120, that multiplied together give a square (921600 = 960²).

The spelling of 1805120 in words is "one million, eight hundred five thousand, one hundred twenty".