11681280 has 240 divisors, whose sum is σ = 44930160. Its totient is φ = 2875392.

The previous prime is 11681273. The next prime is 11681291. The reversal of 11681280 is 8218611.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 898554 + ... + 898566.

It is an arithmetic number, because the mean of its divisors is an integer number (187209).

Almost surely, 2^11681280 is an apocalyptic number.

11681280 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 11681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22465080).

11681280 is an abundant number, since it is smaller than the sum of its proper divisors (33248880).

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

11681280 is an equidigital number, since it uses as much as digits as its factorization.

11681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11681280 is about 3417.7887588322. The cubic root of 11681280 is about 226.8977267036.

Adding to 11681280 its reverse (8218611), we get a palindrome (19899891).

The spelling of 11681280 in words is "eleven million, six hundred eighty-one thousand, two hundred eighty".