11305320 has 64 divisors (see below), whose sum is σ = 36529920. Its totient is φ = 2782464.

The previous prime is 11305309. The next prime is 11305321. The reversal of 11305320 is 2350311.

It is a happy number.

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 11305320.

It is not an unprimeable number, because it can be changed into a prime (11305321) 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, 2064 + ... + 5183.

It is an arithmetic number, because the mean of its divisors is an integer number (570780).

Almost surely, 2^11305320 is an apocalyptic number.

11305320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11305320 is an abundant number, since it is smaller than the sum of its proper divisors (25224600).

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

11305320 is a wasteful number, since it uses less digits than its factorization.

11305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 11305320 is about 3362.3384719567. The cubic root of 11305320 is about 224.4369129766.

Adding to 11305320 its reverse (2350311), we get a palindrome (13655631).

The spelling of 11305320 in words is "eleven million, three hundred five thousand, three hundred twenty".