11533120 has 56 divisors (see below), whose sum is σ = 28675584. Its totient is φ = 4409856.

The previous prime is 11533117. The next prime is 11533141. The reversal of 11533120 is 2133511.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11533094 and 11533103.

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, 6577 + ... + 8143.

It is an arithmetic number, because the mean of its divisors is an integer number (512064).

Almost surely, 2^11533120 is an apocalyptic number.

11533120 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 11533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337792).

11533120 is an abundant number, since it is smaller than the sum of its proper divisors (17142464).

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

11533120 is a wasteful number, since it uses less digits than its factorization.

11533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 11533120 is about 3396.0447582445. The cubic root of 11533120 is about 225.9343532412.

Adding to 11533120 its reverse (2133511), we get a palindrome (13666631).

The spelling of 11533120 in words is "eleven million, five hundred thirty-three thousand, one hundred twenty".