11353680 has 120 divisors (see below), whose sum is σ = 41096328. Its totient is φ = 2792448.

The previous prime is 11353627. The next prime is 11353687. The reversal of 11353680 is 8635311.

11353680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 11048976 = 552^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11353687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8754 + ... + 9966.

Almost surely, 2^11353680 is an apocalyptic number.

11353680 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 11353680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20548164).

11353680 is an abundant number, since it is smaller than the sum of its proper divisors (29742648).

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

11353680 is a wasteful number, since it uses less digits than its factorization.

11353680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11353680 is about 3369.5222213246. The cubic root of 11353680 is about 224.7564772655.

Adding to 11353680 its reverse (8635311), we get a palindrome (19988991).

The spelling of 11353680 in words is "eleven million, three hundred fifty-three thousand, six hundred eighty".