11724832 has 48 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 4727808.

The previous prime is 11724827. The next prime is 11724833. The reversal of 11724832 is 23842711.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11724832.

It is not an unprimeable number, because it can be changed into a prime (11724833) 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, 2269 + ... + 5347.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 2^11724832 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 11724832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

11724832 is an abundant number, since it is smaller than the sum of its proper divisors (16216928).

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

11724832 is a wasteful number, since it uses less digits than its factorization.

11724832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3105 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 11724832 is about 3424.1542021352. The cubic root of 11724832 is about 227.1793623389.

The spelling of 11724832 in words is "eleven million, seven hundred twenty-four thousand, eight hundred thirty-two".