11530920 has 64 divisors (see below), whose sum is σ = 34816320. Its totient is φ = 3055104.

The previous prime is 11530907. The next prime is 11530921. The reversal of 11530920 is 2903511.

It is not an unprimeable number, because it can be changed into a prime (11530921) 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, 36684 + ... + 36996.

It is an arithmetic number, because the mean of its divisors is an integer number (544005).

Almost surely, 2^11530920 is an apocalyptic number.

11530920 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 11530920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17408160).

11530920 is an abundant number, since it is smaller than the sum of its proper divisors (23285400).

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

11530920 is a wasteful number, since it uses less digits than its factorization.

11530920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 11530920 is about 3395.7208365824. The cubic root of 11530920 is about 225.9199862938.

The spelling of 11530920 in words is "eleven million, five hundred thirty thousand, nine hundred twenty".