11589120 has 120 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 3084288.

The previous prime is 11589113. The next prime is 11589173. The reversal of 11589120 is 2198511.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22789 + ... + 23291.

Almost surely, 2^11589120 is an apocalyptic number.

11589120 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 11589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

11589120 is an abundant number, since it is smaller than the sum of its proper divisors (28627056).

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

11589120 is an equidigital number, since it uses as much as digits as its factorization.

11589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11589120 is about 3404.2796594875. The cubic root of 11589120 is about 226.2994438300.

The spelling of 11589120 in words is "eleven million, five hundred eighty-nine thousand, one hundred twenty".