1801824 has 36 divisors (see below), whose sum is σ = 4764564. Its totient is φ = 596224.

The previous prime is 1801823. The next prime is 1801853. The reversal of 1801824 is 4281081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 1801794 and 1801803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13084 + ... + 13220.

It is an arithmetic number, because the mean of its divisors is an integer number (132349).

2^1801824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1801824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382282).

1801824 is an abundant number, since it is smaller than the sum of its proper divisors (2962740).

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

1801824 is an equidigital number, since it uses as much as digits as its factorization.

1801824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1801824 is about 1342.3203790452. The cubic root of 1801824 is about 121.6851146939.

Multiplying 1801824 by its sum of digits (24), we get a square (43243776 = 6576²).

1801824 divided by its sum of digits (24) gives a square (75076 = 274²).

The spelling of 1801824 in words is "one million, eight hundred one thousand, eight hundred twenty-four".