11089680 has 240 divisors, whose sum is σ = 42747264. Its totient is φ = 2365440.

The previous prime is 11089679. The next prime is 11089681. The reversal of 11089680 is 8698011.

It is an interprime number because it is at equal distance from previous prime (11089679) and next prime (11089681).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (11089681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270460 + ... + 270500.

Almost surely, 2^11089680 is an apocalyptic number.

11089680 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 11089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

11089680 is an abundant number, since it is smaller than the sum of its proper divisors (31657584).

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

11089680 is a wasteful number, since it uses less digits than its factorization.

11089680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 11089680 is about 3330.1171150577. The cubic root of 11089680 is about 223.0007574361. Note that the first 3 decimals are identical.

The spelling of 11089680 in words is "eleven million, eighty-nine thousand, six hundred eighty".