11679680 has 112 divisors (see below), whose sum is σ = 31272480. Its totient is φ = 4128768.

The previous prime is 11679659. The next prime is 11679683. The reversal of 11679680 is 8697611.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11679683) 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, 103304 + ... + 103416.

Almost surely, 2^11679680 is an apocalyptic number.

11679680 is a gapful number since it is divisible by the number (10) 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 11679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636240).

11679680 is an abundant number, since it is smaller than the sum of its proper divisors (19592800).

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

11679680 is a wasteful number, since it uses less digits than its factorization.

11679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 11679680 is about 3417.5546813475. The cubic root of 11679680 is about 226.8873667391.

The spelling of 11679680 in words is "eleven million, six hundred seventy-nine thousand, six hundred eighty".