11220680 has 64 divisors (see below), whose sum is σ = 27702000. Its totient is φ = 4071424.

The previous prime is 11220673. The next prime is 11220689. The reversal of 11220680 is 8602211.

11220680 = T₂₇₅ + T₂₇₆ + ... + T₄₄₄.

11220680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4553956 + 6666724 = 2134^2 + 2582^2 .

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 (11220689) 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, 19436 + ... + 20004.

Almost surely, 2^11220680 is an apocalyptic number.

11220680 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 11220680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851000).

11220680 is an abundant number, since it is smaller than the sum of its proper divisors (16481320).

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

11220680 is a wasteful number, since it uses less digits than its factorization.

11220680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11220680 is about 3349.7283471947. The cubic root of 11220680 is about 223.8754090305.

Adding to 11220680 its reverse (8602211), we get a palindrome (19822891).

The spelling of 11220680 in words is "eleven million, two hundred twenty thousand, six hundred eighty".