11678688 has 96 divisors (see below), whose sum is σ = 38949120. Its totient is φ = 3335040.

The previous prime is 11678683. The next prime is 11678699. The reversal of 11678688 is 88687611.

It is a tau number, because it is divible by the number of its divisors (96).

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 (11678683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5083 + ... + 7013.

It is an arithmetic number, because the mean of its divisors is an integer number (405720).

Almost surely, 2^11678688 is an apocalyptic number.

11678688 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 11678688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474560).

11678688 is an abundant number, since it is smaller than the sum of its proper divisors (27270432).

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

11678688 is a wasteful number, since it uses less digits than its factorization.

11678688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1943 counting only the distinct ones).

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

The square root of 11678688 is about 3417.4095452550. The cubic root of 11678688 is about 226.8809430859.

The spelling of 11678688 in words is "eleven million, six hundred seventy-eight thousand, six hundred eighty-eight".