11842688 has 64 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 4961280.

The previous prime is 11842687. The next prime is 11842697. The reversal of 11842688 is 88624811.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11842687) 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, 17981 + ... + 18627.

It is an arithmetic number, because the mean of its divisors is an integer number (433755).

Almost surely, 2^11842688 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 11842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

11842688 is an abundant number, since it is smaller than the sum of its proper divisors (15917632).

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

11842688 is a wasteful number, since it uses less digits than its factorization.

11842688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 673 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 11842688 is about 3441.3206767170. The cubic root of 11842688 is about 227.9380153653.

The spelling of 11842688 in words is "eleven million, eight hundred forty-two thousand, six hundred eighty-eight".