11317680 has 120 divisors (see below), whose sum is σ = 41492880. Its totient is φ = 2741760.

The previous prime is 11317667. The next prime is 11317703. The reversal of 11317680 is 8671311.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 7206 + ... + 8634.

It is an arithmetic number, because the mean of its divisors is an integer number (345774).

Almost surely, 2^11317680 is an apocalyptic number.

11317680 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 11317680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746440).

11317680 is an abundant number, since it is smaller than the sum of its proper divisors (30175200).

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

11317680 is a wasteful number, since it uses less digits than its factorization.

11317680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11317680 is about 3364.1759763722. The cubic root of 11317680 is about 224.5186747758.

Adding to 11317680 its reverse (8671311), we get a palindrome (19988991).

The spelling of 11317680 in words is "eleven million, three hundred seventeen thousand, six hundred eighty".