11001680 has 40 divisors (see below), whose sum is σ = 25826472. Its totient is φ = 4358144.

The previous prime is 11001677. The next prime is 11001707. The reversal of 11001680 is 8610011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85264 + 10916416 = 292^2 + 3304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8432 + ... + 9648.

Almost surely, 2^11001680 is an apocalyptic number.

11001680 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 11001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913236).

11001680 is an abundant number, since it is smaller than the sum of its proper divisors (14824792).

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

11001680 is a wasteful number, since it uses less digits than its factorization.

11001680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 11001680 is about 3316.8780502153. The cubic root of 11001680 is about 222.4093305610.

Adding to 11001680 its reverse (8610011), we get a palindrome (19611691).

The spelling of 11001680 in words is "eleven million, one thousand, six hundred eighty".