2011688 has 16 divisors (see below), whose sum is σ = 4310880. Its totient is φ = 862128.

The previous prime is 2011673. The next prime is 2011697. The reversal of 2011688 is 8861102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17906 + ... + 18017.

It is an arithmetic number, because the mean of its divisors is an integer number (269430).

2^2011688 is an apocalyptic number.

2011688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2011688 is an abundant number, since it is smaller than the sum of its proper divisors (2299192).

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

2011688 is a wasteful number, since it uses less digits than its factorization.

2011688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35936 (or 35932 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 2011688 is about 1418.3398746422. The cubic root of 2011688 is about 126.2370610535.

The spelling of 2011688 in words is "two million, eleven thousand, six hundred eighty-eight".