11513360 has 40 divisors (see below), whose sum is σ = 27158976. Its totient is φ = 4538240.

The previous prime is 11513339. The next prime is 11513371. The reversal of 11513360 is 6331511.

It is a happy number.

11513360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

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, 4667 + ... + 6693.

Almost surely, 2^11513360 is an apocalyptic number.

11513360 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 11513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579488).

11513360 is an abundant number, since it is smaller than the sum of its proper divisors (15645616).

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

11513360 is a wasteful number, since it uses less digits than its factorization.

11513360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 11513360 is about 3393.1342443234. The cubic root of 11513360 is about 225.8052463750.

Adding to 11513360 its reverse (6331511), we get a palindrome (17844871).

The spelling of 11513360 in words is "eleven million, five hundred thirteen thousand, three hundred sixty".