11808720 has 320 divisors, whose sum is σ = 51425280. Its totient is φ = 2419200.

The previous prime is 11808707. The next prime is 11808739. The reversal of 11808720 is 2780811.

11808720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 166285 + ... + 166355.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

Almost surely, 2^11808720 is an apocalyptic number.

11808720 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 11808720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640).

11808720 is an abundant number, since it is smaller than the sum of its proper divisors (39616560).

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

11808720 is a wasteful number, since it uses less digits than its factorization.

11808720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11808720 is about 3436.3818181337. The cubic root of 11808720 is about 227.7198775872.

The spelling of 11808720 in words is "eleven million, eight hundred eight thousand, seven hundred twenty".