11580660 has 216 divisors, whose sum is σ = 44442216. Its totient is φ = 2419200.

The previous prime is 11580623. The next prime is 11580683. The reversal of 11580660 is 6608511.

11580660 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 4 ways, for example, as 1920996 + 9659664 = 1386^2 + 3108^2 .

It is a super-2 number, since 2×11580660² = 268223372071200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114610 + ... + 114710.

It is an arithmetic number, because the mean of its divisors is an integer number (205751).

Almost surely, 2^11580660 is an apocalyptic number.

11580660 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 11580660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221108).

11580660 is an abundant number, since it is smaller than the sum of its proper divisors (32861556).

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

11580660 is a wasteful number, since it uses less digits than its factorization.

11580660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 11580660 is about 3403.0368790244. The cubic root of 11580660 is about 226.2443646023.

The spelling of 11580660 in words is "eleven million, five hundred eighty thousand, six hundred sixty".