11921688 has 64 divisors (see below), whose sum is σ = 33516000. Its totient is φ = 3926016.

The previous prime is 11921687. The next prime is 11921699. The reversal of 11921688 is 88612911.

11921688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11921687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20668 + ... + 21236.

Almost surely, 2^11921688 is an apocalyptic number.

11921688 is a gapful number since it is divisible by the number (18) 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 11921688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758000).

11921688 is an abundant number, since it is smaller than the sum of its proper divisors (21594312).

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

11921688 is a wasteful number, since it uses less digits than its factorization.

11921688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 671 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 11921688 is about 3452.7797497089. The cubic root of 11921688 is about 228.4437341811.

The spelling of 11921688 in words is "eleven million, nine hundred twenty-one thousand, six hundred eighty-eight".