11653120 has 52 divisors (see below), whose sum is σ = 28013220. Its totient is φ = 4653056.

The previous prime is 11653087. The next prime is 11653121. The reversal of 11653120 is 2135611.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 8667136 = 1728^2 + 2944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11653121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20196 + ... + 20764.

Almost surely, 2^11653120 is an apocalyptic number.

11653120 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 11653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14006610).

11653120 is an abundant number, since it is smaller than the sum of its proper divisors (16360100).

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

11653120 is an frugal number, since it uses more digits than its factorization.

11653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 11653120 is about 3413.6666503922. Note that the first 4 decimals coincide. The cubic root of 11653120 is about 226.7152529450.

Adding to 11653120 its reverse (2135611), we get a palindrome (13788731).

The spelling of 11653120 in words is "eleven million, six hundred fifty-three thousand, one hundred twenty".