11227680 has 192 divisors, whose sum is σ = 41368320. Its totient is φ = 2838528.

The previous prime is 11227663. The next prime is 11227681. The reversal of 11227680 is 8672211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11227681) 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, 99304 + ... + 99416.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^11227680 is an apocalyptic number.

11227680 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 11227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

11227680 is an abundant number, since it is smaller than the sum of its proper divisors (30140640).

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

11227680 is a wasteful number, since it uses less digits than its factorization.

11227680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11227680 is about 3350.7730451345. The cubic root of 11227680 is about 223.9219541030.

Adding to 11227680 its reverse (8672211), we get a palindrome (19899891).

The spelling of 11227680 in words is "eleven million, two hundred twenty-seven thousand, six hundred eighty".