11512480 has 96 divisors (see below), whose sum is σ = 32780160. Its totient is φ = 3732480.

The previous prime is 11512427. The next prime is 11512481. The reversal of 11512480 is 8421511.

11512480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (11512481) 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, 21010 + ... + 21550.

It is an arithmetic number, because the mean of its divisors is an integer number (341460).

Almost surely, 2^11512480 is an apocalyptic number.

11512480 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 11512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390080).

11512480 is an abundant number, since it is smaller than the sum of its proper divisors (21267680).

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

11512480 is a wasteful number, since it uses less digits than its factorization.

11512480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 11512480 is about 3393.0045682256. The cubic root of 11512480 is about 225.7994932418.

Adding to 11512480 its reverse (8421511), we get a palindrome (19933991).

The spelling of 11512480 in words is "eleven million, five hundred twelve thousand, four hundred eighty".