11679376 has 40 divisors (see below), whose sum is σ = 24115520. Its totient is φ = 5463936.

The previous prime is 11679329. The next prime is 11679379. The reversal of 11679376 is 67397611.

It is a happy number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11679379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31126 + ... + 31498.

It is an arithmetic number, because the mean of its divisors is an integer number (602888).

Almost surely, 2^11679376 is an apocalyptic number.

11679376 is a gapful number since it is divisible by the number (16) 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 11679376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057760).

11679376 is an abundant number, since it is smaller than the sum of its proper divisors (12436144).

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

11679376 is a wasteful number, since it uses less digits than its factorization.

11679376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its digits is 47628, while the sum is 40.

The square root of 11679376 is about 3417.5102048129. The cubic root of 11679376 is about 226.8853982388.

The spelling of 11679376 in words is "eleven million, six hundred seventy-nine thousand, three hundred seventy-six".