1123584 has 144 divisors (see below), whose sum is σ = 3924480. Its totient is φ = 276480.

The previous prime is 1123567. The next prime is 1123589. The reversal of 1123584 is 4853211.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59127 + ... + 59145.

2^1123584 is an apocalyptic number.

1123584 is a gapful number since it is divisible by the number (14) 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 1123584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962240).

1123584 is an abundant number, since it is smaller than the sum of its proper divisors (2800896).

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

1123584 is a wasteful number, since it uses less digits than its factorization.

1123584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 42 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 1123584 is about 1059.9924528033. The cubic root of 1123584 is about 103.9605372961.

Adding to 1123584 its reverse (4853211), we get a palindrome (5976795).

The spelling of 1123584 in words is "one million, one hundred twenty-three thousand, five hundred eighty-four".