11968320 has 224 divisors, whose sum is σ = 47109888. Its totient is φ = 2506752.

The previous prime is 11968217. The next prime is 11968321. The reversal of 11968320 is 2386911.

11968320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11968321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87292 + ... + 87428.

It is an arithmetic number, because the mean of its divisors is an integer number (210312).

Almost surely, 2^11968320 is an apocalyptic number.

11968320 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 11968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554944).

11968320 is an abundant number, since it is smaller than the sum of its proper divisors (35141568).

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

11968320 is a wasteful number, since it uses less digits than its factorization.

11968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11968320 is about 3459.5259790902. The cubic root of 11968320 is about 228.7412012501.

The spelling of 11968320 in words is "eleven million, nine hundred sixty-eight thousand, three hundred twenty".