11668800 has 336 divisors, whose sum is σ = 47621952. Its totient is φ = 2457600.

The previous prime is 11668771. The next prime is 11668807. The reversal of 11668800 is 886611.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11668807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686392 + ... + 686408.

It is an arithmetic number, because the mean of its divisors is an integer number (141732).

Almost surely, 2^11668800 is an apocalyptic number.

11668800 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 11668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23810976).

11668800 is an abundant number, since it is smaller than the sum of its proper divisors (35953152).

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

11668800 is a wasteful number, since it uses less digits than its factorization.

11668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 11668800 is about 3415.9625290685. The cubic root of 11668800 is about 226.8168938764.

The spelling of 11668800 in words is "eleven million, six hundred sixty-eight thousand, eight hundred".