11205680 has 20 divisors (see below), whose sum is σ = 26053392. Its totient is φ = 4482240.

The previous prime is 11205673. The next prime is 11205697. The reversal of 11205680 is 8650211.

11205680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69956 + ... + 70115.

Almost surely, 2^11205680 is an apocalyptic number.

11205680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11205680 is an abundant number, since it is smaller than the sum of its proper divisors (14847712).

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

11205680 is a wasteful number, since it uses less digits than its factorization.

11205680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140084 (or 140078 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 11205680 is about 3347.4886108843. The cubic root of 11205680 is about 223.7756043647.

Adding to 11205680 its reverse (8650211), we get a palindrome (19855891).

The spelling of 11205680 in words is "eleven million, two hundred five thousand, six hundred eighty".