1824320 has 28 divisors (see below), whose sum is σ = 4344924. Its totient is φ = 729600.

The previous prime is 1824307. The next prime is 1824331. The reversal of 1824320 is 234281.

It can be written as a sum of positive squares in 2 ways, for example, as 1132096 + 692224 = 1064^2 + 832^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1824292 and 1824301.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2531 + ... + 3170.

2^1824320 is an apocalyptic number.

1824320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1824320 is an abundant number, since it is smaller than the sum of its proper divisors (2520604).

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

1824320 is an equidigital number, since it uses as much as digits as its factorization.

1824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1824320 is about 1350.6739058707. The cubic root of 1824320 is about 122.1894396314.

The spelling of 1824320 in words is "one million, eight hundred twenty-four thousand, three hundred twenty".