11668440 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 2569728.

The previous prime is 11668403. The next prime is 11668441. The reversal of 11668440 is 4486611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11668398 and 11668407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11668441) 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 31 ways as a sum of consecutive naturals, for example, 24121 + ... + 24599.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 2^11668440 is an apocalyptic number.

11668440 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 11668440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

11668440 is an abundant number, since it is smaller than the sum of its proper divisors (29803560).

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

11668440 is a wasteful number, since it uses less digits than its factorization.

11668440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 11668440 is about 3415.9098348756. The cubic root of 11668440 is about 226.8145613052.

The spelling of 11668440 in words is "eleven million, six hundred sixty-eight thousand, four hundred forty".