11867688 has 128 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 3298752.

The previous prime is 11867677. The next prime is 11867693. The reversal of 11867688 is 88676811.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70981 + ... + 71147.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^11867688 is an apocalyptic number.

11867688 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 11867688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

11867688 is an abundant number, since it is smaller than the sum of its proper divisors (26839512).

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

11867688 is a wasteful number, since it uses less digits than its factorization.

11867688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

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

The square root of 11867688 is about 3444.9510881869. The cubic root of 11867688 is about 228.0982955668.

The spelling of 11867688 in words is "eleven million, eight hundred sixty-seven thousand, six hundred eighty-eight".