1830240 has 144 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 460800.

The previous prime is 1830223. The next prime is 1830253. The reversal of 1830240 is 420381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44620 + ... + 44660.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2^1830240 is an apocalyptic number.

1830240 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 1830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

1830240 is an abundant number, since it is smaller than the sum of its proper divisors (4774176).

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

1830240 is a wasteful number, since it uses less digits than its factorization.

1830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1830240 is about 1352.8636294912. The cubic root of 1830240 is about 122.3214669884.

The spelling of 1830240 in words is "one million, eight hundred thirty thousand, two hundred forty".