11211680 has 48 divisors (see below), whose sum is σ = 26853120. Its totient is φ = 4422912.

The previous prime is 11211671. The next prime is 11211689. The reversal of 11211680 is 8611211.

It is an interprime number because it is at equal distance from previous prime (11211671) and next prime (11211689).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11211689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12197 + ... + 13083.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 2^11211680 is an apocalyptic number.

11211680 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 11211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426560).

11211680 is an abundant number, since it is smaller than the sum of its proper divisors (15641440).

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

11211680 is an equidigital number, since it uses as much as digits as its factorization.

11211680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 11211680 is about 3348.3846851878. The cubic root of 11211680 is about 223.8155369126.

Adding to 11211680 its reverse (8611211), we get a palindrome (19822891).

The spelling of 11211680 in words is "eleven million, two hundred eleven thousand, six hundred eighty".