11013680 has 40 divisors (see below), whose sum is σ = 26438784. Its totient is φ = 4262400.

The previous prime is 11013643. The next prime is 11013683. The reversal of 11013680 is 8631011.

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

It is a super-2 number, since 2×11013680² = 242602294284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11013683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260 + ... + 4700.

Almost surely, 2^11013680 is an apocalyptic number.

11013680 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 11013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219392).

11013680 is an abundant number, since it is smaller than the sum of its proper divisors (15425104).

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

11013680 is a wasteful number, since it uses less digits than its factorization.

11013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11013680 is about 3318.6864871512. The cubic root of 11013680 is about 222.4901649484.

Adding to 11013680 its reverse (8631011), we get a palindrome (19644691).

The spelling of 11013680 in words is "eleven million, thirteen thousand, six hundred eighty".