11588980 has 72 divisors (see below), whose sum is σ = 27655992. Its totient is φ = 4053504.

The previous prime is 11588977. The next prime is 11588981. The reversal of 11588980 is 8988511.

11588980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2862864 + 8726116 = 1692^2 + 2954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11588981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218634 + ... + 218686.

It is an arithmetic number, because the mean of its divisors is an integer number (384111).

Almost surely, 2^11588980 is an apocalyptic number.

11588980 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 11588980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827996).

11588980 is an abundant number, since it is smaller than the sum of its proper divisors (16067012).

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

11588980 is a wasteful number, since it uses less digits than its factorization.

11588980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 40.

The square root of 11588980 is about 3404.2590970724. The cubic root of 11588980 is about 226.2985325716.

The spelling of 11588980 in words is "eleven million, five hundred eighty-eight thousand, nine hundred eighty".