1133824 has 36 divisors (see below), whose sum is σ = 2338336. Its totient is φ = 548352.

The previous prime is 1133819. The next prime is 1133827. The reversal of 1133824 is 4283311.

It is a d-powerful number, because it can be written as 1 + 1 + 3³ + 3⁹ + 8⁵ + 2¹⁵ + 4¹⁰ .

It is a junction number, because it is equal to n+sod(n) for n = 1133795 and 1133804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133827) 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, 10957 + ... + 11059.

2^1133824 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 1133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169168).

1133824 is an abundant number, since it is smaller than the sum of its proper divisors (1204512).

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

1133824 is an equidigital number, since it uses as much as digits as its factorization.

1133824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 1133824 is about 1064.8117204464. The cubic root of 1133824 is about 104.2754041760.

The spelling of 1133824 in words is "one million, one hundred thirty-three thousand, eight hundred twenty-four".