11687688 has 48 divisors (see below), whose sum is σ = 31824000. Its totient is φ = 3875040.

The previous prime is 11687677. The next prime is 11687693. The reversal of 11687688 is 88678611.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19213 + ... + 19811.

It is an arithmetic number, because the mean of its divisors is an integer number (663000).

Almost surely, 2^11687688 is an apocalyptic number.

11687688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11687688 is an abundant number, since it is smaller than the sum of its proper divisors (20136312).

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

11687688 is a wasteful number, since it uses less digits than its factorization.

11687688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 875 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 11687688 is about 3418.7260785269. The cubic root of 11687688 is about 226.9392088827.

It can be divided in two parts, 116876 and 88, that added together give a square (116964 = 342²).

The spelling of 11687688 in words is "eleven million, six hundred eighty-seven thousand, six hundred eighty-eight".