11679408 has 120 divisors (see below), whose sum is σ = 37372608. Its totient is φ = 3373056.

The previous prime is 11679407. The next prime is 11679413. The reversal of 11679408 is 80497611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11679407) 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 23 ways as a sum of consecutive naturals, for example, 31641 + ... + 32007.

Almost surely, 2^11679408 is an apocalyptic number.

11679408 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 11679408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686304).

11679408 is an abundant number, since it is smaller than the sum of its proper divisors (25693200).

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

11679408 is a wasteful number, since it uses less digits than its factorization.

11679408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11679408 is about 3417.5148865806. The cubic root of 11679408 is about 226.8856054510.

It can be divided in two parts, 116 and 79408, that added together give a square (79524 = 282²).

The spelling of 11679408 in words is "eleven million, six hundred seventy-nine thousand, four hundred eight".