11332320 has 48 divisors (see below), whose sum is σ = 35698320. Its totient is φ = 3021824.

The previous prime is 11332309. The next prime is 11332339. The reversal of 11332320 is 2323311.

11332320 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11332320.

It is a congruent number.

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, 11325 + ... + 12284.

It is an arithmetic number, because the mean of its divisors is an integer number (743715).

Almost surely, 2^11332320 is an apocalyptic number.

11332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332320 is an abundant number, since it is smaller than the sum of its proper divisors (24366000).

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

11332320 is a wasteful number, since it uses less digits than its factorization.

11332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23627 (or 23619 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 11332320 is about 3366.3511403298. The cubic root of 11332320 is about 224.6154418734.

Adding to 11332320 its reverse (2323311), we get a palindrome (13655631).

Subtracting from 11332320 its reverse (2323311), we obtain a palindrome (9009009).

The spelling of 11332320 in words is "eleven million, three hundred thirty-two thousand, three hundred twenty".