11201680 has 80 divisors (see below), whose sum is σ = 30248064. Its totient is φ = 3778560.

The previous prime is 11201669. The next prime is 11201689. The reversal of 11201680 is 8610211.

It is a tau number, because it is divible by the number of its divisors (80).

11201680 is a modest number, since divided by 1680 gives 1120 as remainder.

It is not an unprimeable number, because it can be changed into a prime (11201689) 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 15 ways as a sum of consecutive naturals, for example, 46360 + ... + 46600.

Almost surely, 2^11201680 is an apocalyptic number.

11201680 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 11201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124032).

11201680 is an abundant number, since it is smaller than the sum of its proper divisors (19046384).

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

11201680 is a wasteful number, since it uses less digits than its factorization.

11201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 11201680 is about 3346.8910947325. The cubic root of 11201680 is about 223.7489747464.

Adding to 11201680 its reverse (8610211), we get a palindrome (19811891).

It can be divided in two parts, 11201 and 680, that added together give a square (11881 = 109²).

The spelling of 11201680 in words is "eleven million, two hundred one thousand, six hundred eighty".