11488320 has 84 divisors (see below), whose sum is σ = 39524940. Its totient is φ = 3062784.

The previous prime is 11488283. The next prime is 11488327. The reversal of 11488320 is 2388411.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 6718464 = 2184^2 + 2592^2 .

It is not an unprimeable number, because it can be changed into a prime (11488327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 886 + ... + 4874.

It is an arithmetic number, because the mean of its divisors is an integer number (470535).

Almost surely, 2^11488320 is an apocalyptic number.

11488320 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 11488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762470).

11488320 is an abundant number, since it is smaller than the sum of its proper divisors (28036620).

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

11488320 is a wasteful number, since it uses less digits than its factorization.

11488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11488320 is about 3389.4424320233. The cubic root of 11488320 is about 225.6414289390.

Subtracting from 11488320 its reverse (2388411), we obtain a palindrome (9099909).

The spelling of 11488320 in words is "eleven million, four hundred eighty-eight thousand, three hundred twenty".