1824 has 24 divisors (see below), whose sum is σ = 5040. Its totient is φ = 576.

The previous prime is 1823. The next prime is 1831. The reversal of 1824 is 4281.

Adding to 1824 its reverse (4281), we get a triangular number (6105 = T_{110}).

1824 = 10^{2} + 11^{2} + ... + 18^{2}.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (64) is a multiple of the sum of its prime factors (32).

It is a plaindrome in base 9.

It is a nialpdrome in base 13, base 14 and base 16.

It is not an unprimeable number, because it can be changed into a prime (1823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87 + ... + 105.

It is an arithmetic number, because the mean of its divisors is an integer number (210).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520).

1824 is an abundant number, since it is smaller than the sum of its proper divisors (3216).

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

1824 is a wasteful number, since it uses less digits than its factorization.

1824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 24 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 1824 is about 42.7083130081. The cubic root of 1824 is about 12.2182294886.

The spelling of 1824 in words is "one thousand, eight hundred twenty-four".

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