11684672 has 56 divisors (see below), whose sum is σ = 24472392. Its totient is φ = 5529600.

The previous prime is 11684671. The next prime is 11684689. The reversal of 11684672 is 27648611.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 11397376 = 536^2 + 3376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11684671) 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, 160028 + ... + 160100.

It is an arithmetic number, because the mean of its divisors is an integer number (437007).

Almost surely, 2^11684672 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 11684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236196).

11684672 is an abundant number, since it is smaller than the sum of its proper divisors (12787720).

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

11684672 is an equidigital number, since it uses as much as digits as its factorization.

11684672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 11684672 is about 3418.2849500883. The cubic root of 11684672 is about 226.9196867001.

It can be divided in two parts, 1168 and 4672, that multiplied together give a square (5456896 = 2336²).

The spelling of 11684672 in words is "eleven million, six hundred eighty-four thousand, six hundred seventy-two".