1824100 has 72 divisors (see below), whose sum is σ = 4452840. Its totient is φ = 645120.

The previous prime is 1824077. The next prime is 1824113. The reversal of 1824100 is 14281.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 39204 + 1784896 = 198^2 + 1336^2 .

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, 49282 + ... + 49318.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

2^1824100 is an apocalyptic number.

1824100 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 1824100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226420).

1824100 is an abundant number, since it is smaller than the sum of its proper divisors (2628740).

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

1824100 is a wasteful number, since it uses less digits than its factorization.

1824100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1824100 is about 1350.5924625882. The cubic root of 1824100 is about 122.1845277086.

Adding to 1824100 its reverse (14281), we get a palindrome (1838381).

The spelling of 1824100 in words is "one million, eight hundred twenty-four thousand, one hundred".