11681824 has 72 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 4540800.

The previous prime is 11681801. The next prime is 11681833. The reversal of 11681824 is 42818611.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26889 + ... + 27319.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 2^11681824 is an apocalyptic number.

11681824 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 11681824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

11681824 is an abundant number, since it is smaller than the sum of its proper divisors (17276000).

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

11681824 is a wasteful number, since it uses less digits than its factorization.

11681824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 451 counting only the distinct ones).

The product of its digits is 3072, while the sum is 31.

The square root of 11681824 is about 3417.8683415252. The cubic root of 11681824 is about 226.9012488760.

It can be divided in two parts, 1168 and 1824, that added together give a palindrome (2992).

The spelling of 11681824 in words is "eleven million, six hundred eighty-one thousand, eight hundred twenty-four".