11208960 has 216 divisors, whose sum is σ = 44640960. Its totient is φ = 2543616.

The previous prime is 11208959. The next prime is 11208973. The reversal of 11208960 is 6980211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80571 + ... + 80709.

Almost surely, 2^11208960 is an apocalyptic number.

11208960 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 11208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320480).

11208960 is an abundant number, since it is smaller than the sum of its proper divisors (33432000).

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

11208960 is a wasteful number, since it uses less digits than its factorization.

11208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11208960 is about 3347.9784945546. The cubic root of 11208960 is about 223.7974359233.

The spelling of 11208960 in words is "eleven million, two hundred eight thousand, nine hundred sixty".