11884320 has 240 divisors, whose sum is σ = 48299328. Its totient is φ = 2695680.

The previous prime is 11884319. The next prime is 11884331. The reversal of 11884320 is 2348811.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90655 + ... + 90785.

Almost surely, 2^11884320 is an apocalyptic number.

11884320 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 11884320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24149664).

11884320 is an abundant number, since it is smaller than the sum of its proper divisors (36415008).

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

11884320 is a wasteful number, since it uses less digits than its factorization.

11884320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11884320 is about 3447.3642105237. The cubic root of 11884320 is about 228.2048021300.

The spelling of 11884320 in words is "eleven million, eight hundred eighty-four thousand, three hundred twenty".