11359120 has 40 divisors (see below), whose sum is σ = 26676864. Its totient is φ = 4497792.

The previous prime is 11359109. The next prime is 11359123. The reversal of 11359120 is 2195311.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11359091 and 11359100.

It is not an unprimeable number, because it can be changed into a prime (11359123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7897 + ... + 9223.

Almost surely, 2^11359120 is an apocalyptic number.

11359120 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 11359120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338432).

11359120 is an abundant number, since it is smaller than the sum of its proper divisors (15317744).

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

11359120 is a wasteful number, since it uses less digits than its factorization.

11359120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 11359120 is about 3370.3293607599. The cubic root of 11359120 is about 224.7923681253.

The spelling of 11359120 in words is "eleven million, three hundred fifty-nine thousand, one hundred twenty".