11111680 has 36 divisors (see below), whose sum is σ = 26619012. Its totient is φ = 4444160.

The previous prime is 11111677. The next prime is 11111687. The reversal of 11111680 is 8611111.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 4393216 = 2592^2 + 2096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3061 + ... + 5620.

It is an arithmetic number, because the mean of its divisors is an integer number (739417).

Almost surely, 2^11111680 is an apocalyptic number.

11111680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111680 is an abundant number, since it is smaller than the sum of its proper divisors (15507332).

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

11111680 is an frugal number, since it uses more digits than its factorization.

11111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8702 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

The square root of 11111680 is about 3333.4186655744. The cubic root of 11111680 is about 223.1481249587.

Adding to 11111680 its reverse (8611111), we get a palindrome (19722791).

The spelling of 11111680 in words is "eleven million, one hundred eleven thousand, six hundred eighty".