1845120 has 96 divisors (see below), whose sum is σ = 6077160. Its totient is φ = 476160.

The previous prime is 1845119. The next prime is 1845133. The reversal of 1845120 is 215481.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59505 + ... + 59535.

2^1845120 is an apocalyptic number.

1845120 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 1845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038580).

1845120 is an abundant number, since it is smaller than the sum of its proper divisors (4232040).

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

1845120 is an equidigital number, since it uses as much as digits as its factorization.

1845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1845120 is about 1358.3519426128. The cubic root of 1845120 is about 122.6520671556.

The spelling of 1845120 in words is "one million, eight hundred forty-five thousand, one hundred twenty".