11484560 has 40 divisors (see below), whose sum is σ = 27018360. Its totient is φ = 4539392.

The previous prime is 11484553. The next prime is 11484581. The reversal of 11484560 is 6548411.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 10942864 = 736^2 + 3308^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6314 + ... + 7926.

It is an arithmetic number, because the mean of its divisors is an integer number (675459).

Almost surely, 2^11484560 is an apocalyptic number.

11484560 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 11484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13509180).

11484560 is an abundant number, since it is smaller than the sum of its proper divisors (15533800).

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

11484560 is a wasteful number, since it uses less digits than its factorization.

11484560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 11484560 is about 3388.8877231328. The cubic root of 11484560 is about 225.6168096054.

The spelling of 11484560 in words is "eleven million, four hundred eighty-four thousand, five hundred sixty".