11017680 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 2834944.

The previous prime is 11017673. The next prime is 11017687. The reversal of 11017680 is 8671011.

It is an interprime number because it is at equal distance from previous prime (11017673) and next prime (11017687).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11017680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11017687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6169 + ... + 7751.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 2^11017680 is an apocalyptic number.

11017680 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 11017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

11017680 is an abundant number, since it is smaller than the sum of its proper divisors (24337200).

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

11017680 is a wasteful number, since it uses less digits than its factorization.

11017680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 11017680 is about 3319.2890805111. The cubic root of 11017680 is about 222.5170966958.

Adding to 11017680 its reverse (8671011), we get a palindrome (19688691).

The spelling of 11017680 in words is "eleven million, seventeen thousand, six hundred eighty".