11808320 has 28 divisors (see below), whose sum is σ = 28119324. Its totient is φ = 4723200.

The previous prime is 11808317. The next prime is 11808323. The reversal of 11808320 is 2380811.

It is an interprime number because it is at equal distance from previous prime (11808317) and next prime (11808323).

It can be written as a sum of positive squares in 2 ways, for example, as 1721344 + 10086976 = 1312^2 + 3176^2 .

It is a super-4 number, since 4×11808320⁴ (a number of 29 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11808323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18131 + ... + 18770.

Almost surely, 2^11808320 is an apocalyptic number.

11808320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11808320 is an abundant number, since it is smaller than the sum of its proper divisors (16311004).

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

11808320 is an equidigital number, since it uses as much as digits as its factorization.

11808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36918 (or 36908 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11808320 is about 3436.3236168906. The cubic root of 11808320 is about 227.7173063523.

The spelling of 11808320 in words is "eleven million, eight hundred eight thousand, three hundred twenty".