11668320 has 192 divisors, whose sum is σ = 42517440. Its totient is φ = 2985984.

The previous prime is 11668309. The next prime is 11668333. The reversal of 11668320 is 2386611.

It is a super-2 number, since 2×11668320² = 272299383244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159804 + ... + 159876.

It is an arithmetic number, because the mean of its divisors is an integer number (221445).

Almost surely, 2^11668320 is an apocalyptic number.

11668320 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 11668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21258720).

11668320 is an abundant number, since it is smaller than the sum of its proper divisors (30849120).

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

11668320 is a wasteful number, since it uses less digits than its factorization.

11668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11668320 is about 3415.8922699640. The cubic root of 11668320 is about 226.8137837708.

The spelling of 11668320 in words is "eleven million, six hundred sixty-eight thousand, three hundred twenty".