1213824 has 64 divisors (see below), whose sum is σ = 3366000. Its totient is φ = 387072.

The previous prime is 1213801. The next prime is 1213829. The reversal of 1213824 is 4283121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1213824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11082 + ... + 11190.

2^1213824 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 1213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683000).

1213824 is an abundant number, since it is smaller than the sum of its proper divisors (2152176).

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

1213824 is a wasteful number, since it uses less digits than its factorization.

1213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 1213824 is about 1101.7368106767. The cubic root of 1213824 is about 106.6723608071.

Adding to 1213824 its reverse (4283121), we get a palindrome (5496945).

The spelling of 1213824 in words is "one million, two hundred thirteen thousand, eight hundred twenty-four".