1811920 has 80 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 627200.

The previous prime is 1811903. The next prime is 1811923. The reversal of 1811920 is 291181.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1811891 and 1811900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1811923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25485 + ... + 25555.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

2^1811920 is an apocalyptic number.

1811920 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 1811920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

1811920 is an abundant number, since it is smaller than the sum of its proper divisors (3009200).

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

1811920 is a wasteful number, since it uses less digits than its factorization.

1811920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 1811920 is about 1346.0757779561. The cubic root of 1811920 is about 121.9119673088.

The spelling of 1811920 in words is "one million, eight hundred eleven thousand, nine hundred twenty".