11590120 has 32 divisors (see below), whose sum is σ = 26399520. Its totient is φ = 4578880.

The previous prime is 11590109. The next prime is 11590121. The reversal of 11590120 is 2109511.

11590120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11590120² = 268661763228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11590121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1575 + ... + 5065.

It is an arithmetic number, because the mean of its divisors is an integer number (824985).

Almost surely, 2^11590120 is an apocalyptic number.

11590120 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 11590120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199760).

11590120 is an abundant number, since it is smaller than the sum of its proper divisors (14809400).

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

11590120 is a wasteful number, since it uses less digits than its factorization.

11590120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 11590120 is about 3404.4265302691. The cubic root of 11590120 is about 226.3059526054.

Adding to 11590120 its reverse (2109511), we get a palindrome (13699631).

It can be divided in two parts, 115901 and 20, that added together give a triangular number (115921 = T₄₈₁).

The spelling of 11590120 in words is "eleven million, five hundred ninety thousand, one hundred twenty".