11530720 has 48 divisors (see below), whose sum is σ = 28682640. Its totient is φ = 4368384.

The previous prime is 11530703. The next prime is 11530723. The reversal of 11530720 is 2703511.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11530723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1144 + ... + 4936.

It is an arithmetic number, because the mean of its divisors is an integer number (597555).

Almost surely, 2^11530720 is an apocalyptic number.

11530720 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 11530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14341320).

11530720 is an abundant number, since it is smaller than the sum of its proper divisors (17151920).

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

11530720 is a wasteful number, since it uses less digits than its factorization.

11530720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 11530720 is about 3395.6913876264. The cubic root of 11530720 is about 225.9186801171.

The spelling of 11530720 in words is "eleven million, five hundred thirty thousand, seven hundred twenty".