11579120 has 160 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 3548160.

The previous prime is 11579111. The next prime is 11579123. The reversal of 11579120 is 2197511.

11579120 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

11579120 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11579120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11579123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373505 + ... + 373535.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 2^11579120 is an apocalyptic number.

11579120 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 11579120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

11579120 is an abundant number, since it is smaller than the sum of its proper divisors (22704400).

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

11579120 is a wasteful number, since it uses less digits than its factorization.

11579120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 11579120 is about 3402.8106030163. The cubic root of 11579120 is about 226.2343354742.

The spelling of 11579120 in words is "eleven million, five hundred seventy-nine thousand, one hundred twenty".