11724688 has 40 divisors (see below), whose sum is σ = 23732856. Its totient is φ = 5606400.

The previous prime is 11724677. The next prime is 11724689. The reversal of 11724688 is 88642711.

11724688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 11641744 = 288^2 + 3412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11724689) 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, 39870 + ... + 40162.

Almost surely, 2^11724688 is an apocalyptic number.

It is an amenable number.

11724688 is an abundant number, since it is smaller than the sum of its proper divisors (12008168).

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

11724688 is a wasteful number, since it uses less digits than its factorization.

11724688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The square root of 11724688 is about 3424.1331749802. The cubic root of 11724688 is about 227.1784322911.

It can be divided in two parts, 1172 and 4688, that multiplied together give a square (5494336 = 2344²).

The spelling of 11724688 in words is "eleven million, seven hundred twenty-four thousand, six hundred eighty-eight".