11086680 has 128 divisors (see below), whose sum is σ = 37428480. Its totient is φ = 2603520.

The previous prime is 11086657. The next prime is 11086681. The reversal of 11086680 is 8668011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11086681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48727 + ... + 48953.

It is an arithmetic number, because the mean of its divisors is an integer number (292410).

Almost surely, 2^11086680 is an apocalyptic number.

11086680 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 11086680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714240).

11086680 is an abundant number, since it is smaller than the sum of its proper divisors (26341800).

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

11086680 is a wasteful number, since it uses less digits than its factorization.

11086680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 11086680 is about 3329.6666499816. Note that the first 4 decimals coincide. The cubic root of 11086680 is about 222.9806467684.

The spelling of 11086680 in words is "eleven million, eighty-six thousand, six hundred eighty".